Atkin-Lehner |
3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561d |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1378659 = -1 · 3 · 193 · 67 |
Discriminant |
Eigenvalues |
2 3+ -1 2 1 1 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,-55] |
[a1,a2,a3,a4,a6] |
j |
-4096/201 |
j-invariant |
L |
2.3702137189388 |
L(r)(E,1)/r! |
Ω |
1.1851068672263 |
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 |
72561g1 |
Quadratic twists by: -19 |