Atkin-Lehner |
3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561h |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-36113312127339 = -1 · 32 · 197 · 672 |
Discriminant |
Eigenvalues |
0 3- -1 -3 -5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-481,288997] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:541:1] |
Generators of the group modulo torsion |
j |
-262144/767619 |
j-invariant |
L |
3.6184832655797 |
L(r)(E,1)/r! |
Ω |
0.52313738682828 |
Real period |
R |
0.43230556583475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3819b1 |
Quadratic twists by: -19 |