Atkin-Lehner |
2- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
12496i |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1126039552 = 217 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 11- -5 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:22:1] [-12:32:1] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
4.7118289188823 |
L(r)(E,1)/r! |
Ω |
1.2669643306446 |
Real period |
R |
0.46487387262172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1562a1 49984o1 112464w1 |
Quadratic twists by: -4 8 -3 |