Atkin-Lehner |
3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128673u |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-78888000897 = -1 · 38 · 17 · 294 |
Discriminant |
Eigenvalues |
-1 3- 4 3 5 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,13574] |
[a1,a2,a3,a4,a6] |
j |
-841/153 |
j-invariant |
L |
3.5457371906796 |
L(r)(E,1)/r! |
Ω |
0.88643358915948 |
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 |
42891l1 128673h1 |
Quadratic twists by: -3 29 |