Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13024b |
Isogeny class |
Conductor |
13024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
5743032277312 = 26 · 116 · 373 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67981,-6821304] |
[a1,a2,a3,a4,a6] |
j |
542883177740979648/89734879333 |
j-invariant |
L |
0.29566980514747 |
L(r)(E,1)/r! |
Ω |
0.29566980514747 |
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 |
13024e1 26048l2 117216o1 |
Quadratic twists by: -4 8 -3 |