Atkin-Lehner |
2- 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502bb |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
15963672606336 = 27 · 39 · 75 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 13- -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353243,-80720117] |
[a1,a2,a3,a4,a6] |
j |
247657771342393803/811038592 |
j-invariant |
L |
2.7416333894097 |
L(r)(E,1)/r! |
Ω |
0.19583095640911 |
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 |
47502b1 |
Quadratic twists by: -3 |