Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160j |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
4362076160 = 226 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,1232] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
1.2219449467172 |
L(r)(E,1)/r! |
Ω |
1.2219449467172 |
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 |
4160a1 1040f1 37440eu1 20800cu1 |
Quadratic twists by: -4 8 -3 5 |