Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3612d |
Isogeny class |
Conductor |
3612 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
5099671140698064 = 24 · 3 · 75 · 436 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43309,-465206] |
[a1,a2,a3,a4,a6] |
Generators |
[2550:128312:1] |
Generators of the group modulo torsion |
j |
561498015075008512/318729446293629 |
j-invariant |
L |
2.5445349808876 |
L(r)(E,1)/r! |
Ω |
0.35733063378551 |
Real period |
R |
4.7473026198569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14448bc1 57792be1 10836c1 90300bl1 |
Quadratic twists by: -4 8 -3 5 |