Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304m |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204543360 |
Modular degree for the optimal curve |
Δ |
-1.3003786022953E+29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48673373088,-4133209330877076] |
[a1,a2,a3,a4,a6] |
Generators |
[164090750217760692588586941912543988144179849960274440685399677887772251588617616745716578850820922711896624706034354330191804916579148948336473490700169636563432061229650210118319374335615579394300512609246230730261898702135:55253301226505529250938398401178244503624119813695948669489749004704765795052940382128644906177597406986301309235578526320748500417808525723288716550587849235178058300099634807774608256101672236817613132662721083179267098573724:526076195977205222346301721949051524213770432532923532038337669664813691331793501879172007876831572298167600480938469671281310880768932991010406923660516954984092493213647691148351689389372641435668870816133028473503467] |
Generators of the group modulo torsion |
j |
-1015621959753145219250/10356281643411 |
j-invariant |
L |
3.5112113198558 |
L(r)(E,1)/r! |
Ω |
0.0050821377496395 |
Real period |
R |
345.4462957153 |
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 |
95304h1 |
Quadratic twists by: -19 |