Atkin-Lehner |
2- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23780b |
Isogeny class |
Conductor |
23780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
95115148880 = 24 · 5 · 294 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2521,-47256] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:1189:27] |
Generators of the group modulo torsion |
j |
110788460068864/5944696805 |
j-invariant |
L |
2.9989343990821 |
L(r)(E,1)/r! |
Ω |
0.67598999146026 |
Real period |
R |
0.73939319540413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120i1 118900b1 |
Quadratic twists by: -4 5 |