Atkin-Lehner |
2- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232p |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
25256983003136 = 223 · 29 · 473 |
Discriminant |
Eigenvalues |
2- -2 3 -2 0 -5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18529,-946401] |
[a1,a2,a3,a4,a6] |
Generators |
[-9395:20656:125] |
Generators of the group modulo torsion |
j |
2683880485273/96347744 |
j-invariant |
L |
5.5868309395384 |
L(r)(E,1)/r! |
Ω |
0.41010215881048 |
Real period |
R |
6.8115112670442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232j1 21808c1 |
Quadratic twists by: -4 8 |