Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38236c |
Isogeny class |
Conductor |
38236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
251164800 |
Modular degree for the optimal curve |
Δ |
1.9920099363553E+29 |
Discriminant |
Eigenvalues |
2- 3 1 -1 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169945333327,-26965708844077498] |
[a1,a2,a3,a4,a6] |
Generators |
[-2910381460280138928613927165714624681474572528973002874984102084509567647080826750964301767770055927100461854831903697606977499249619294158148230594299967057943304298435647842793193627200386359620822702032066794571901479740966393941001064918355084117154594225878805873761300855113237539062297101340249531328515865986645060990928293035766829149361205799303512696239836320540364635199689439209588963208928238630359416037110895618022167170251655587601502:-727645754510908399821473849260800804870815332791858579255318418437528003162930509192581462001034985383804060030423079549651424759463087269131831724497960572364490636417487627063779849385132159710759503473928796376961925268940750361576056891976471339953438552849798768820044970568968432486473324272842182067247862122551754720811760932902197844023625907713348891782461829642358290335841830660663381198097203354632948477684484951298832705313158816145706:12223713580008379180984109222081769706089815525634222168887941080281541277250888835647690584840757959361568068500174727840333200966693292163228700854221860788622461450001488709776229901365562639814797119669949231908127100502486179789814528166698598103553927318157326966396456189631619618497111824695319497252729787306179231830697341086913385811536319863381093615604205640279343574903438924293701990644990912431094374032100984605248397366059675259] |
Generators of the group modulo torsion |
j |
1196893107776952772633673036496/439233467765886286999 |
j-invariant |
L |
10.300947878063 |
L(r)(E,1)/r! |
Ω |
0.0074357067446625 |
Real period |
R |
692.66770676893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3476b1 |
Quadratic twists by: -11 |