Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cl |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
138116839219200 = 213 · 315 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15088,429908] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-648:1] |
Generators of the group modulo torsion |
j |
3709774959385/1348797258 |
j-invariant |
L |
7.7732237800909 |
L(r)(E,1)/r! |
Ω |
0.53317965236738 |
Real period |
R |
0.24298325919295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050t1 56400cg1 |
Quadratic twists by: -4 5 |