Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880u |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-188334080 = -1 · 214 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,-624] |
[a1,a2,a3,a4,a6] |
j |
2122416/11495 |
j-invariant |
L |
1.8014690153432 |
L(r)(E,1)/r! |
Ω |
0.90073450694705 |
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 |
66880dp1 8360m1 |
Quadratic twists by: -4 8 |