Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cy |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
29573120 = 214 · 5 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-405,2995] |
[a1,a2,a3,a4,a6] |
j |
1245184/5 |
j-invariant |
L |
2.1041446627166 |
L(r)(E,1)/r! |
Ω |
2.1041449069179 |
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 |
115520bc1 28880x1 115520cl1 |
Quadratic twists by: -4 8 -19 |