Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736o |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
466341483664 = 24 · 72 · 296 |
Discriminant |
Eigenvalues |
2+ -3 1 7- -5 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9667,364357] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:841:1] |
Generators of the group modulo torsion |
j |
127433263474944/594823321 |
j-invariant |
L |
2.5000235133341 |
L(r)(E,1)/r! |
Ω |
0.94061369057412 |
Real period |
R |
0.44297737714338 |
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 |
11368o1 90944dj1 22736d1 |
Quadratic twists by: -4 8 -7 |