Atkin-Lehner |
2- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
7592c |
Isogeny class |
Conductor |
7592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3392 |
Modular degree for the optimal curve |
Δ |
3158272 = 28 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4111,-101454] |
[a1,a2,a3,a4,a6] |
j |
30014158880592/12337 |
j-invariant |
L |
1.1924569025884 |
L(r)(E,1)/r! |
Ω |
0.59622845129418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15184b1 60736a1 68328d1 98696a1 |
Quadratic twists by: -4 8 -3 13 |