Atkin-Lehner |
2- 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550bl |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
23273965406250000 = 24 · 34 · 59 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96588,8882781] |
[a1,a2,a3,a4,a6] |
j |
6377838054073849/1489533786000 |
j-invariant |
L |
2.8591860019817 |
L(r)(E,1)/r! |
Ω |
0.35739824998691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11310d1 |
Quadratic twists by: 5 |