Atkin-Lehner |
2+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710p |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12542400 |
Modular degree for the optimal curve |
Δ |
6.8230010007955E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 0 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7402654,6657962260] |
[a1,a2,a3,a4,a6] |
Generators |
[2234843:28325029:2197] |
Generators of the group modulo torsion |
j |
325426244878449/49492787200 |
j-invariant |
L |
3.2521341918544 |
L(r)(E,1)/r! |
Ω |
0.12751296144907 |
Real period |
R |
12.752170987808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710t1 |
Quadratic twists by: 13 |