Atkin-Lehner |
2- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258t |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1765743393877034 = -1 · 2 · 114 · 137 · 312 |
Discriminant |
Eigenvalues |
2- 1 3 -1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,926,-2021618] |
[a1,a2,a3,a4,a6] |
j |
18191447/365820026 |
j-invariant |
L |
6.9523557579885 |
L(r)(E,1)/r! |
Ω |
0.21726114523825 |
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 |
8866a1 |
Quadratic twists by: 13 |