Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170x |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2579488132616640 = 26 · 39 · 5 · 76 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34697,-457271] |
[a1,a2,a3,a4,a6] |
j |
234691015098987/131051574080 |
j-invariant |
L |
4.5069165151857 |
L(r)(E,1)/r! |
Ω |
0.37557637626491 |
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 |
37170c2 |
Quadratic twists by: -3 |