Atkin-Lehner |
3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561f |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
37223793 = 34 · 193 · 67 |
Discriminant |
Eigenvalues |
1 3- 2 2 -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2155,-38671] |
[a1,a2,a3,a4,a6] |
j |
161255673307/5427 |
j-invariant |
L |
5.605995481443 |
L(r)(E,1)/r! |
Ω |
0.70074943647612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72561c1 |
Quadratic twists by: -19 |