Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cb |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33554985648128 = 224 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7- 6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9473,222881] |
[a1,a2,a3,a4,a6] |
j |
3048625/1088 |
j-invariant |
L |
4.8060662544581 |
L(r)(E,1)/r! |
Ω |
0.60075828190537 |
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 |
53312ba1 13328w1 1088i1 |
Quadratic twists by: -4 8 -7 |