Atkin-Lehner |
2- 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320br |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-602968109875200 = -1 · 226 · 36 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6480,-1166400] |
[a1,a2,a3,a4,a6] |
j |
7345506701519/147209011200 |
j-invariant |
L |
2.002985952283 |
L(r)(E,1)/r! |
Ω |
0.25037321821959 |
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 |
14790ba1 |
Quadratic twists by: -4 |