Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bh |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-2255040000000 = -1 · 212 · 35 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1259,70595] |
[a1,a2,a3,a4,a6] |
j |
53838872576/550546875 |
j-invariant |
L |
3.0167803510348 |
L(r)(E,1)/r! |
Ω |
0.60335607020697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
435b1 27840cx1 20880ci1 34800bz1 |
Quadratic twists by: -4 8 -3 5 |