Atkin-Lehner |
2- 3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576v |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
11331307634688 = 216 · 38 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10512,-378432] |
[a1,a2,a3,a4,a6] |
j |
31366144171153/2766432528 |
j-invariant |
L |
1.8965892337502 |
L(r)(E,1)/r! |
Ω |
0.47414731021173 |
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 |
8322j1 |
Quadratic twists by: -4 |