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 |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
123025707792 = 24 · 33 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5834,-173113] |
[a1,a2,a3,a4,a6] |
j |
4549540393/25488 |
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 |
354d1 |
Quadratic twists by: 13 |