Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736r |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
32307856 = 24 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 1 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,-421] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
4302592/841 |
j-invariant |
L |
7.5557997986649 |
L(r)(E,1)/r! |
Ω |
1.4798967236231 |
Real period |
R |
0.85093773527732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684b1 90944cp1 22736bm1 |
Quadratic twists by: -4 8 -7 |