Atkin-Lehner |
3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561c |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
693120 |
Modular degree for the optimal curve |
Δ |
1751226135846633 = 34 · 199 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-777782,263687114] |
[a1,a2,a3,a4,a6] |
j |
161255673307/5427 |
j-invariant |
L |
0.44026433166292 |
L(r)(E,1)/r! |
Ω |
0.44026435242131 |
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 |
72561f1 |
Quadratic twists by: -19 |