Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646r |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
7110773325824 = 214 · 77 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5856,-117760] |
[a1,a2,a3,a4,a6] |
j |
188822850553/60440576 |
j-invariant |
L |
2.238265472264 |
L(r)(E,1)/r! |
Ω |
0.55956636785368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378b1 |
Quadratic twists by: -7 |