Atkin-Lehner |
11- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
96679f |
Isogeny class |
Conductor |
96679 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
544476059276501 = 119 · 173 · 47 |
Discriminant |
Eigenvalues |
1 2 3 -1 11- 3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91841,-10692172] |
[a1,a2,a3,a4,a6] |
j |
48359833994737/307342541 |
j-invariant |
L |
6.5844166518183 |
L(r)(E,1)/r! |
Ω |
0.27435069408635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8789a1 |
Quadratic twists by: -11 |