Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bf |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
1235235439872 = 28 · 33 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4573,-104831] |
[a1,a2,a3,a4,a6] |
j |
7168000/837 |
j-invariant |
L |
1.1699513678632 |
L(r)(E,1)/r! |
Ω |
0.58497568856405 |
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 |
18228j1 72912cu1 |
Quadratic twists by: -4 -7 |