Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050i |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
2576000000 = 210 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-350,500] |
[a1,a2,a3,a4,a6] |
j |
304821217/164864 |
j-invariant |
L |
2.5191017298099 |
L(r)(E,1)/r! |
Ω |
1.2595508649049 |
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 |
64400bl1 72450eo1 322d1 56350h1 |
Quadratic twists by: -4 -3 5 -7 |