Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320t |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1396736 |
Modular degree for the optimal curve |
Δ |
101528149096976640 = 28 · 3 · 5 · 319 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188676,27505920] |
[a1,a2,a3,a4,a6] |
j |
109744/15 |
j-invariant |
L |
5.8179320919103 |
L(r)(E,1)/r! |
Ω |
0.32321849294103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115320n1 |
Quadratic twists by: -31 |