Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664bf |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-99749888 = -1 · 212 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427,-3430] |
[a1,a2,a3,a4,a6] |
j |
-6128487/71 |
j-invariant |
L |
2.0990504993991 |
L(r)(E,1)/r! |
Ω |
0.52476262474897 |
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 |
3479e1 55664bh1 |
Quadratic twists by: -4 -7 |