Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
69628a |
Isogeny class |
Conductor |
69628 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1654552896256 = 28 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 1 -1 0 6 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3436,-47852] |
[a1,a2,a3,a4,a6] |
j |
3631696/1339 |
j-invariant |
L |
2.571585373611 |
L(r)(E,1)/r! |
Ω |
0.64289634340899 |
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 |
5356a1 |
Quadratic twists by: 13 |