Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520i |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
61977830400 = 210 · 310 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,-389518] |
[a1,a2,a3,a4,a6] |
j |
151867739524/83025 |
j-invariant |
L |
1.9057957524663 |
L(r)(E,1)/r! |
Ω |
0.47644893811666 |
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 |
14760p1 118080fj1 9840e1 |
Quadratic twists by: -4 8 -3 |