Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628i |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
23695172400124368 = 24 · 312 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-580800,170206949] |
[a1,a2,a3,a4,a6] |
j |
1048576000000/1146717 |
j-invariant |
L |
0.75559845527018 |
L(r)(E,1)/r! |
Ω |
0.3777992274259 |
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 |
18876b1 5148f1 |
Quadratic twists by: -3 -11 |