Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320u |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-11676150000 = -1 · 24 · 35 · 55 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196,-5371] |
[a1,a2,a3,a4,a6] |
j |
-54433024/759375 |
j-invariant |
L |
5.4433777898299 |
L(r)(E,1)/r! |
Ω |
0.54433771237278 |
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 |
115320m1 |
Quadratic twists by: -31 |