Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230x |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
140839046406500 = 22 · 53 · 137 · 672 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13270,136495] |
[a1,a2,a3,a4,a6] |
j |
53540005609/29178500 |
j-invariant |
L |
6.0783801589035 |
L(r)(E,1)/r! |
Ω |
0.50653174228228 |
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 |
8710a1 |
Quadratic twists by: 13 |