Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
3314010125891520 = 26 · 312 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38276,-810570] |
[a1,a2,a3,a4,a6] |
j |
54698902336/29229255 |
j-invariant |
L |
2.1775008799679 |
L(r)(E,1)/r! |
Ω |
0.36291684487362 |
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 |
116160fa1 58080i3 10560cc1 |
Quadratic twists by: -4 8 -11 |