Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740b |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
338097575656400 = 24 · 52 · 72 · 297 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 2 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17941,276066] |
[a1,a2,a3,a4,a6] |
j |
67108864/35525 |
j-invariant |
L |
3.7914735601937 |
L(r)(E,1)/r! |
Ω |
0.47393413856348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060a1 |
Quadratic twists by: 29 |