Atkin-Lehner |
2- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10846f |
Isogeny class |
Conductor |
10846 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
282547150336 = 29 · 113 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 1 3 -4 11- 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6554,-203164] |
[a1,a2,a3,a4,a6] |
j |
31134877745885857/282547150336 |
j-invariant |
L |
4.7780748823641 |
L(r)(E,1)/r! |
Ω |
0.53089720915157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86768g1 97614k1 119306g1 |
Quadratic twists by: -4 -3 -11 |