Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232j |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
12 |
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 |
[105:384:1] |
Generators of the group modulo torsion |
j |
2683880485273/96347744 |
j-invariant |
L |
12.807374293883 |
L(r)(E,1)/r! |
Ω |
0.66623934516409 |
Real period |
R |
1.6019486080114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232p1 2726c1 |
Quadratic twists by: -4 8 |