Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bo |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21968833068 = 22 · 33 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48799297,131190128243] |
[a1,a2,a3,a4,a6] |
j |
109238611037284248339457/186732 |
j-invariant |
L |
2.975362770031 |
L(r)(E,1)/r! |
Ω |
0.37192034314458 |
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 |
10374k3 |
Quadratic twists by: -7 |