Atkin-Lehner |
2+ 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442c |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
1.1596377393586E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 5 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4902524,4172833488] |
[a1,a2,a3,a4,a6] |
j |
2699746096571246737/2402493530112 |
j-invariant |
L |
3.5996125843759 |
L(r)(E,1)/r! |
Ω |
0.22497578814325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034e1 |
Quadratic twists by: 13 |