Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664c |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-944766976 = -1 · 220 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 2 1 1 0 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-1471] |
[a1,a2,a3,a4,a6] |
Generators |
[31135:34956:2197] |
Generators of the group modulo torsion |
j |
-117649/3604 |
j-invariant |
L |
10.279827151695 |
L(r)(E,1)/r! |
Ω |
0.68235088483152 |
Real period |
R |
7.5326546650281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664x1 1802d1 |
Quadratic twists by: -4 8 |