Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080m |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
294582776400 = 24 · 37 · 52 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5538,-156463] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:45:1] |
Generators of the group modulo torsion |
j |
1610404796416/25255725 |
j-invariant |
L |
4.2564379859751 |
L(r)(E,1)/r! |
Ω |
0.55395449866648 |
Real period |
R |
0.96046651921113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360x1 |
Quadratic twists by: -3 |