Atkin-Lehner |
3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5607d |
Isogeny class |
Conductor |
5607 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-7633184769 = -1 · 36 · 76 · 89 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 4 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-3990] |
[a1,a2,a3,a4,a6] |
Generators |
[12:18:1] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
2.5281552967972 |
L(r)(E,1)/r! |
Ω |
0.66525279430004 |
Real period |
R |
0.63338210638591 |
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 |
89712q1 623a1 39249n1 |
Quadratic twists by: -4 -3 -7 |