Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13320n |
Isogeny class |
Conductor |
13320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
34525440 = 28 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,-4862] |
[a1,a2,a3,a4,a6] |
j |
94875856/185 |
j-invariant |
L |
1.9782467734345 |
L(r)(E,1)/r! |
Ω |
0.98912338671725 |
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 |
26640j1 106560cq1 1480c1 66600o1 |
Quadratic twists by: -4 8 -3 5 |