Atkin-Lehner |
2- 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96922x |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-206214323891968 = -1 · 28 · 77 · 232 · 432 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7202,-649020] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-2186:1] [74:502:1] |
Generators of the group modulo torsion |
j |
351148691375/1752792832 |
j-invariant |
L |
11.573591402265 |
L(r)(E,1)/r! |
Ω |
0.28341527077773 |
Real period |
R |
1.2761300064013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846f1 |
Quadratic twists by: -7 |