Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bo |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
12315525120 = 220 · 34 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4000,-98572] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:12:1] |
Generators of the group modulo torsion |
j |
1728432036001/3006720 |
j-invariant |
L |
4.6687015193444 |
L(r)(E,1)/r! |
Ω |
0.6003726343917 |
Real period |
R |
1.9440849115628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870g1 27840cl1 20880bw1 34800cf1 |
Quadratic twists by: -4 8 -3 5 |