Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192z |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
3872063888 = 24 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11- 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2856,59633] |
[a1,a2,a3,a4,a6] |
j |
1331205255424/2000033 |
j-invariant |
L |
5.5745316686491 |
L(r)(E,1)/r! |
Ω |
1.3936329027936 |
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 |
115192m1 |
Quadratic twists by: -11 |