Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408d |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
63378432 = 210 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9173,-335115] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2133:1] |
Generators of the group modulo torsion |
j |
83369132032000/61893 |
j-invariant |
L |
4.8232710416715 |
L(r)(E,1)/r! |
Ω |
0.48782918650404 |
Real period |
R |
4.9436064663343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408de1 3588f1 |
Quadratic twists by: -4 8 |