Atkin-Lehner |
2+ 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040m |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
795600 = 24 · 32 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16575,-815850] |
[a1,a2,a3,a4,a6] |
j |
31476797652269056/49725 |
j-invariant |
L |
1.6830382185958 |
L(r)(E,1)/r! |
Ω |
0.42075955487113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520bf1 |
Quadratic twists by: -4 |