Atkin-Lehner |
3- 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807j |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
594999598765473 = 37 · 113 · 172 · 294 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-218894,39455556] |
[a1,a2,a3,a4,a6] |
j |
1591094213291171737/816186006537 |
j-invariant |
L |
1.0175439846959 |
L(r)(E,1)/r! |
Ω |
0.50877199241616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16269a1 |
Quadratic twists by: -3 |