Atkin-Lehner |
2- 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584q |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-23619534848 = -1 · 215 · 7 · 13 · 892 |
Discriminant |
Eigenvalues |
2- 1 0 7- -1 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10288,-405164] |
[a1,a2,a3,a4,a6] |
j |
-29403487464625/5766488 |
j-invariant |
L |
1.8961301692001 |
L(r)(E,1)/r! |
Ω |
0.23701628826687 |
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 |
16198h1 |
Quadratic twists by: -4 |