Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802bd |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
275747673842488512 = 26 · 36 · 713 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -1 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175968,13041216] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/3215111872 |
j-invariant |
L |
1.1080201418931 |
L(r)(E,1)/r! |
Ω |
0.27700503530992 |
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 |
5978l1 7686j1 |
Quadratic twists by: -3 -7 |