Atkin-Lehner |
2+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294c |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-87280677101792 = -1 · 25 · 179 · 23 |
Discriminant |
Eigenvalues |
2+ 1 2 -3 0 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9110,559624] |
[a1,a2,a3,a4,a6] |
j |
-704969/736 |
j-invariant |
L |
1.100472777823 |
L(r)(E,1)/r! |
Ω |
0.55023638891152 |
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 |
106352j1 119646ce1 13294b1 |
Quadratic twists by: -4 -3 17 |