Atkin-Lehner |
2+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13090a |
Isogeny class |
Conductor |
13090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-199386880 = -1 · 28 · 5 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-634,-6228] |
[a1,a2,a3,a4,a6] |
j |
-28119423707929/199386880 |
j-invariant |
L |
0.95120776208994 |
L(r)(E,1)/r! |
Ω |
0.47560388104497 |
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 |
104720z1 117810ea1 65450ba1 91630w1 |
Quadratic twists by: -4 -3 5 -7 |