Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bh |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2539261312310842840 = 23 · 5 · 74 · 319 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6325002,-6120583759] |
[a1,a2,a3,a4,a6] |
j |
1058401397871/96040 |
j-invariant |
L |
4.5695979867655 |
L(r)(E,1)/r! |
Ω |
0.095199958238918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270bi2 |
Quadratic twists by: -31 |