Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520br |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
1391293484318720 = 214 · 5 · 198 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 1 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36581,1995715] |
[a1,a2,a3,a4,a6] |
j |
19456/5 |
j-invariant |
L |
0.44972916586173 |
L(r)(E,1)/r! |
Ω |
0.44972845840625 |
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 |
115520g1 28880f1 115520cb1 |
Quadratic twists by: -4 8 -19 |