Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810v |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5348851200 |
Modular degree for the optimal curve |
Δ |
-2.1558686614966E+39 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68722333582,-2233939329341988044] |
[a1,a2,a3,a4,a6] |
Generators |
[1500635234100878274996615895709069814873954361606315642422322257127417481907220215136263109247313138121839634912735874977150582048489991639202353906179095948837250802714274216089785287544385288790618815611232942971828386839497601490345697924512529538247598839526632842327260209286288643079424634828303141140290696441461886307225048088926448027529370:134931132330023062807270254815309351848678873423636423270695709726484003080056581374407994707797617161724151964866109031839193807973316638026317568789504867134306628573370681735176339545111550678182080349041824268419512766905753756615672388041361386013971221298008636813957382907559045629553849075602110668002426872575620584426961258711834719623534443:1130392953306704970763998334471675287687266295819862008128690036615943108362452628265094852537708518651223712765029873137949532533000088586069486529386845436992929213940982141506472228533425023627207765732275947946920062601716608282583411865192825563519016675190825547055753943247375078096465964960650049994005398112015883966171587197227775928] |
Generators of the group modulo torsion |
j |
-762949514912708039797646866801/45824812197620141357267649822720 |
j-invariant |
L |
4.5326179601183 |
L(r)(E,1)/r! |
Ω |
0.0021154018021967 |
Real period |
R |
535.66867951651 |
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 |
3990ba1 |
Quadratic twists by: -19 |