Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144t |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
12087578624 = 212 · 112 · 293 |
Discriminant |
Eigenvalues |
2- -2 -2 1 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8389,-298509] |
[a1,a2,a3,a4,a6] |
Generators |
[-1446:145:27] [230:3161:1] |
Generators of the group modulo torsion |
j |
131753070592/24389 |
j-invariant |
L |
6.2362577249283 |
L(r)(E,1)/r! |
Ω |
0.49885291713129 |
Real period |
R |
4.1670650878982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3509e1 56144n1 |
Quadratic twists by: -4 -11 |