Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150bm |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
3698562500000000 = 28 · 512 · 17 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146213,-21331583] |
[a1,a2,a3,a4,a6] |
j |
22123907597860489/236708000000 |
j-invariant |
L |
1.9544462578053 |
L(r)(E,1)/r! |
Ω |
0.24430578218681 |
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 |
10030a1 |
Quadratic twists by: 5 |