Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bc |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
350308270080 = 228 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1800,7920] |
[a1,a2,a3,a4,a6] |
j |
157551496201/85524480 |
j-invariant |
L |
1.6713925054266 |
L(r)(E,1)/r! |
Ω |
0.83569625271332 |
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 |
870d1 27840dg1 20880bq1 34800de1 |
Quadratic twists by: -4 8 -3 5 |