Atkin-Lehner |
5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39775b |
Isogeny class |
Conductor |
39775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
26723828125 = 58 · 37 · 432 |
Discriminant |
Eigenvalues |
0 -1 5+ -3 -1 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1883,-29832] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:12:1] [-22:21:1] |
Generators of the group modulo torsion |
j |
47280848896/1710325 |
j-invariant |
L |
5.4644924116683 |
L(r)(E,1)/r! |
Ω |
0.72632788542506 |
Real period |
R |
1.8808628036052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955c1 |
Quadratic twists by: 5 |