Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
115900a |
Isogeny class |
Conductor |
115900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
41977531250000 = 24 · 59 · 192 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10700,-290375] |
[a1,a2,a3,a4,a6] |
j |
541919821824/167910125 |
j-invariant |
L |
2.8846974242087 |
L(r)(E,1)/r! |
Ω |
0.48078303106657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23180a1 |
Quadratic twists by: 5 |