Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802y |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-259207360416055296 = -1 · 218 · 39 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68346,23492916] |
[a1,a2,a3,a4,a6] |
j |
411664745519/3022258176 |
j-invariant |
L |
1.8106090743415 |
L(r)(E,1)/r! |
Ω |
0.2263261340718 |
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 |
17934bb1 7686i1 |
Quadratic twists by: -3 -7 |