Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
95004i |
Isogeny class |
Conductor |
95004 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-2.0122438210496E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3142632,2155147972] |
[a1,a2,a3,a4,a6] |
Generators |
[356:32886:1] |
Generators of the group modulo torsion |
j |
-18392332252543442944/107823421481139 |
j-invariant |
L |
8.4407749484902 |
L(r)(E,1)/r! |
Ω |
0.21740915248511 |
Real period |
R |
0.53922746091528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31668d1 |
Quadratic twists by: -3 |