Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336ba |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-2279723380453376 = -1 · 212 · 117 · 134 |
Discriminant |
Eigenvalues |
2- 3 1 4 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30008,-1128688] |
[a1,a2,a3,a4,a6] |
j |
411830784/314171 |
j-invariant |
L |
8.2364844578711 |
L(r)(E,1)/r! |
Ω |
0.25739013929009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336o1 100672bb1 4576c1 |
Quadratic twists by: -4 8 -11 |