Atkin-Lehner |
5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025a |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
40083381953125 = 57 · 78 · 89 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 1 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18401,-912677] |
[a1,a2,a3,a4,a6] |
j |
7649089/445 |
j-invariant |
L |
2.4684156735128 |
L(r)(E,1)/r! |
Ω |
0.41140267832473 |
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 |
21805b1 109025e1 |
Quadratic twists by: 5 -7 |