Atkin-Lehner |
2+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5642g |
Isogeny class |
Conductor |
5642 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
5770567548928 = 216 · 75 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9745,-349347] |
[a1,a2,a3,a4,a6] |
j |
102351523274517609/5770567548928 |
j-invariant |
L |
2.410996466534 |
L(r)(E,1)/r! |
Ω |
0.48219929330681 |
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 |
45136g1 50778ca1 39494c1 73346m1 |
Quadratic twists by: -4 -3 -7 13 |