Atkin-Lehner |
3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
45123g |
Isogeny class |
Conductor |
45123 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
8494203997773 = 32 · 139 · 89 |
Discriminant |
Eigenvalues |
2 3+ 4 5 2 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5126,-15481] |
[a1,a2,a3,a4,a6] |
j |
1404928/801 |
j-invariant |
L |
9.7663611626219 |
L(r)(E,1)/r! |
Ω |
0.61039757266132 |
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 |
45123h1 |
Quadratic twists by: 13 |