Atkin-Lehner |
2- 11- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526bd |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
42847768005328 = 24 · 118 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 1 2 0 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22932,1297088] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1278:1] |
Generators of the group modulo torsion |
j |
6221702113/199888 |
j-invariant |
L |
14.334991173676 |
L(r)(E,1)/r! |
Ω |
0.63856043700411 |
Real period |
R |
2.8061148034401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526h1 |
Quadratic twists by: -11 |