Atkin-Lehner |
2+ 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130j |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7159808 |
Modular degree for the optimal curve |
Δ |
-3.774419638272E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 -5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6064200,-5821880000] |
[a1,a2,a3,a4,a6] |
Generators |
[543436850:122350941575:10648] |
Generators of the group modulo torsion |
j |
-33831150905261634307201/517753036800000000 |
j-invariant |
L |
4.2925704351395 |
L(r)(E,1)/r! |
Ω |
0.048059715674552 |
Real period |
R |
11.164679157599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710z1 |
Quadratic twists by: -3 |