Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616bo |
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 |
[5:8:1] [9:26:1] |
Generators of the group modulo torsion |
j |
-2368 |
j-invariant |
L |
5.8078176549338 |
L(r)(E,1)/r! |
Ω |
1.2480372735346 |
Real period |
R |
4.6535610584726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bl1 43808c1 87616bm1 |
Quadratic twists by: -4 8 37 |