Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150cf |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-81543297928683500 = -1 · 22 · 53 · 7 · 1312 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,87510,9437237] |
[a1,a2,a3,a4,a6] |
j |
122837590611/135150652 |
j-invariant |
L |
3.6368657763778 |
L(r)(E,1)/r! |
Ω |
0.22730411105223 |
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 |
59150u2 4550l2 |
Quadratic twists by: 5 13 |