Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59826n |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
302689375808742 = 2 · 312 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108924,13766007] |
[a1,a2,a3,a4,a6] |
j |
29609739866953/62710038 |
j-invariant |
L |
1.0929091524777 |
L(r)(E,1)/r! |
Ω |
0.54645457305523 |
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 |
354d3 |
Quadratic twists by: 13 |