Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664bh |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-11735474573312 = -1 · 212 · 79 · 71 |
Discriminant |
Eigenvalues |
2- -3 4 7- 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20923,1176490] |
[a1,a2,a3,a4,a6] |
j |
-6128487/71 |
j-invariant |
L |
2.8724337028945 |
L(r)(E,1)/r! |
Ω |
0.71810842609729 |
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 |
3479d1 55664bf1 |
Quadratic twists by: -4 -7 |