Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5220k |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2483010450000 = 24 · 310 · 55 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759288,254658337] |
[a1,a2,a3,a4,a6] |
j |
4150455958484156416/212878125 |
j-invariant |
L |
1.8296536413498 |
L(r)(E,1)/r! |
Ω |
0.60988454711661 |
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 |
20880cb1 83520bz1 1740f1 26100x1 |
Quadratic twists by: -4 8 -3 5 |