Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bo |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
6763983273216 = 28 · 39 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4728,-596] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:351:1] [-30:338:1] |
Generators of the group modulo torsion |
j |
62630895616/36243909 |
j-invariant |
L |
9.6466196090381 |
L(r)(E,1)/r! |
Ω |
0.63201965555169 |
Real period |
R |
0.95394774558402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21996e1 29328u1 |
Quadratic twists by: -4 -3 |