Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bf |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-487088640000 = -1 · 212 · 38 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1800,-16848] |
[a1,a2,a3,a4,a6] |
j |
157376536199/118918125 |
j-invariant |
L |
2.0844856824001 |
L(r)(E,1)/r! |
Ω |
0.52112142060001 |
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 |
435c4 27840dm3 20880bx4 34800dk3 |
Quadratic twists by: -4 8 -3 5 |