Atkin-Lehner |
2+ 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582o |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2927306213425152 = -1 · 224 · 37 · 13 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32589,-1292171] |
[a1,a2,a3,a4,a6] |
j |
5250513632788943/4015509209088 |
j-invariant |
L |
2.0160679227946 |
L(r)(E,1)/r! |
Ω |
0.25200849180305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194v1 |
Quadratic twists by: -3 |