Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920m |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
264927969280 = 220 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 6 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304616,-64609424] |
[a1,a2,a3,a4,a6] |
j |
763173572128899049/64679680 |
j-invariant |
L |
1.2193054379812 |
L(r)(E,1)/r! |
Ω |
0.20321757299688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990b1 95680bt1 119600o1 |
Quadratic twists by: -4 8 5 |