Atkin-Lehner |
2- 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666g |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
737829648 = 24 · 36 · 17 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11849,499385] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/1012112 |
j-invariant |
L |
5.6323616337343 |
L(r)(E,1)/r! |
Ω |
1.4080904084336 |
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 |
2074a1 |
Quadratic twists by: -3 |