Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150r |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
272562500 = 22 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2288,-42308] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1334:1] |
Generators of the group modulo torsion |
j |
84778086457/17444 |
j-invariant |
L |
5.920934581005 |
L(r)(E,1)/r! |
Ω |
0.69030325841864 |
Real period |
R |
2.1443237116426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1246f1 |
Quadratic twists by: 5 |