Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7568p |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
13407173648 = 24 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 2 4 3 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1526,-21757] |
[a1,a2,a3,a4,a6] |
j |
24578303113984/837948353 |
j-invariant |
L |
5.3578857788547 |
L(r)(E,1)/r! |
Ω |
0.76541225412211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1892a1 30272y1 68112by1 83248bg1 |
Quadratic twists by: -4 8 -3 -11 |