Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740a |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
1.3932662995225E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6768368,6775191033] |
[a1,a2,a3,a4,a6] |
j |
3603027962363904/1463949725 |
j-invariant |
L |
2.6307282188347 |
L(r)(E,1)/r! |
Ω |
0.21922722256788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060b1 |
Quadratic twists by: 29 |