Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50508b |
Isogeny class |
Conductor |
50508 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-21208511232 = -1 · 28 · 310 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 3 5 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2784,-56972] |
[a1,a2,a3,a4,a6] |
j |
-12786860032/113643 |
j-invariant |
L |
5.2552325495872 |
L(r)(E,1)/r! |
Ω |
0.32845203436306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16836d1 |
Quadratic twists by: -3 |