Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bv |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
874888003584 = 215 · 34 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-387144,-92587536] |
[a1,a2,a3,a4,a6] |
j |
4567603158846559/622728 |
j-invariant |
L |
1.5311626282166 |
L(r)(E,1)/r! |
Ω |
0.19139532763428 |
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 |
9114n2 72912ci2 |
Quadratic twists by: -4 -7 |