Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960i |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
974177280 = 210 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3120,68112] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:324:1] |
Generators of the group modulo torsion |
j |
3281154851524/951345 |
j-invariant |
L |
3.6804001695604 |
L(r)(E,1)/r! |
Ω |
1.530420222894 |
Real period |
R |
1.2024149036011 |
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 |
3480k3 27840df4 20880g3 34800bd4 |
Quadratic twists by: -4 8 -3 5 |