Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116058i |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69572160 |
Modular degree for the optimal curve |
Δ |
9.0971759894698E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1084117980,12950146446106] |
[a1,a2,a3,a4,a6] |
Generators |
[100629790538458536063585342201379875667319135360097273417830922659536917331519555723068663399055139737755336353353587656823414:-160661161327910805885022054746919617821726436975579071829136876589195603174234231392583142100635587710667984205045950511078877250:49023596391021499616577096402940688303345687645074133900823256521549778418230105170981907056358111073517031222011602110791] |
Generators of the group modulo torsion |
j |
9713402206620636077/627082405085184 |
j-invariant |
L |
7.9552422260454 |
L(r)(E,1)/r! |
Ω |
0.040353192730456 |
Real period |
R |
197.14034225701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116058v1 |
Quadratic twists by: 29 |