Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624m |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
216358912 = 213 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-2960] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:8:1] |
Generators of the group modulo torsion |
j |
765625/22 |
j-invariant |
L |
3.3189306283673 |
L(r)(E,1)/r! |
Ω |
1.063919109362 |
Real period |
R |
0.77988321648753 |
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 |
1078a1 34496bz1 77616ee1 8624y1 |
Quadratic twists by: -4 8 -3 -7 |