Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bl |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-87616 = -1 · 26 · 372 |
Discriminant |
Eigenvalues |
2- 2 -3 2 -4 -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,26] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] [10:27:8] |
Generators of the group modulo torsion |
j |
-2368 |
j-invariant |
L |
12.990313450325 |
L(r)(E,1)/r! |
Ω |
3.187160772285 |
Real period |
R |
4.075826222366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bo1 43808d1 87616bk1 |
Quadratic twists by: -4 8 37 |