Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088o |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
90963124416 = 26 · 34 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2372,41250] |
[a1,a2,a3,a4,a6] |
j |
23071236519232/1421298819 |
j-invariant |
L |
4.2174598181789 |
L(r)(E,1)/r! |
Ω |
1.0543650866092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088a1 56544f3 |
Quadratic twists by: -4 8 |