Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960f |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
80736000000 = 211 · 3 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1336,-12464] |
[a1,a2,a3,a4,a6] |
j |
128865945458/39421875 |
j-invariant |
L |
1.616853879023 |
L(r)(E,1)/r! |
Ω |
0.8084269395115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480h2 27840dz2 20880t2 34800bg2 |
Quadratic twists by: -4 8 -3 5 |