Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550r |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3068928 |
Modular degree for the optimal curve |
Δ |
302857822568448000 = 218 · 39 · 53 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1343697,-598594339] |
[a1,a2,a3,a4,a6] |
j |
109050241342156479/123094171648 |
j-invariant |
L |
0.56093593285555 |
L(r)(E,1)/r! |
Ω |
0.14023410179204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550dm1 116550dv1 |
Quadratic twists by: -3 5 |