Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680l |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
97976320 = 216 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,575] |
[a1,a2,a3,a4,a6] |
Generators |
[11:16:1] |
Generators of the group modulo torsion |
j |
7086244/1495 |
j-invariant |
L |
6.024771461192 |
L(r)(E,1)/r! |
Ω |
1.7916451683921 |
Real period |
R |
0.84067587206704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bj1 11960c1 |
Quadratic twists by: -4 8 |