Atkin-Lehner |
2- 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46992m |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2444889682870272 = -1 · 220 · 39 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31768,-943308] |
[a1,a2,a3,a4,a6] |
j |
865604918383127/596896895232 |
j-invariant |
L |
4.6678865444651 |
L(r)(E,1)/r! |
Ω |
0.25932703025606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5874c1 |
Quadratic twists by: -4 |