Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bn |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-8426395635750000 = -1 · 24 · 319 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221270,40230975] |
[a1,a2,a3,a4,a6] |
Generators |
[595:10935:1] |
Generators of the group modulo torsion |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
4.8103858021102 |
L(r)(E,1)/r! |
Ω |
0.41568119811042 |
Real period |
R |
0.10151136706926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740d1 27840ci1 20880bu1 34800cc1 |
Quadratic twists by: -4 8 -3 5 |