Atkin-Lehner |
2- 3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582g |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-217552671081018 = -1 · 2 · 33 · 7 · 134 · 674 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13789,938717] |
[a1,a2,a3,a4,a6] |
j |
-289950589066145617/217552671081018 |
j-invariant |
L |
2.0621929689513 |
L(r)(E,1)/r! |
Ω |
0.51554824224125 |
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 |
109746d3 |
Quadratic twists by: -3 |