Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5220l |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1226178000 = 24 · 36 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,837] |
[a1,a2,a3,a4,a6] |
j |
226492416/105125 |
j-invariant |
L |
1.3732608077274 |
L(r)(E,1)/r! |
Ω |
1.3732608077274 |
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 |
20880bz1 83520cg1 580b1 26100v1 |
Quadratic twists by: -4 8 -3 5 |