Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950g |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
1404043264000000 = 226 · 56 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -6 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-154650,-23403500] |
[a1,a2,a3,a4,a6] |
j |
26179288974173089/89858768896 |
j-invariant |
L |
0.48159428890253 |
L(r)(E,1)/r! |
Ω |
0.24079715098717 |
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 |
2678m1 |
Quadratic twists by: 5 |