Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18612k |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-76597297083648 = -1 · 28 · 314 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384591,-91801834] |
[a1,a2,a3,a4,a6] |
j |
-33709597668821968/410436477 |
j-invariant |
L |
1.7254086367748 |
L(r)(E,1)/r! |
Ω |
0.095856035376377 |
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 |
74448be1 6204b1 |
Quadratic twists by: -4 -3 |