Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hk |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
93388800000000 = 222 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49633,-4247137] |
[a1,a2,a3,a4,a6] |
Generators |
[5385319135:44458818048:18609625] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
9.2302952116812 |
L(r)(E,1)/r! |
Ω |
0.31999040064781 |
Real period |
R |
14.422768929327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200x1 22800ca1 18240cb1 |
Quadratic twists by: -4 8 5 |