Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18656b |
Isogeny class |
Conductor |
18656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-36118016 = -1 · 29 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 3 1 4 11+ 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67,-358] |
[a1,a2,a3,a4,a6] |
j |
-64964808/70543 |
j-invariant |
L |
7.2010738431481 |
L(r)(E,1)/r! |
Ω |
0.80011931590534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18656d1 37312bf1 |
Quadratic twists by: -4 8 |