Atkin-Lehner |
2- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6392b |
Isogeny class |
Conductor |
6392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
38454272 = 210 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,494] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] |
Generators of the group modulo torsion |
j |
242793828/37553 |
j-invariant |
L |
3.2563832641807 |
L(r)(E,1)/r! |
Ω |
1.9620107029638 |
Real period |
R |
1.6597173803698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12784a1 51136b1 57528f1 108664b1 |
Quadratic twists by: -4 8 -3 17 |