Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720bg |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
250085376000 = 222 · 32 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2720,-49932] |
[a1,a2,a3,a4,a6] |
j |
543538277281/61056000 |
j-invariant |
L |
3.9953608362866 |
L(r)(E,1)/r! |
Ω |
0.66589347271443 |
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 |
1590n1 50880cj1 38160bo1 63600bz1 |
Quadratic twists by: -4 8 -3 5 |