Atkin-Lehner |
2+ 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59826j |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-195207624458184 = -1 · 23 · 3 · 1310 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 1 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13685,269726] |
[a1,a2,a3,a4,a6] |
j |
2056223/1416 |
j-invariant |
L |
3.2149801325359 |
L(r)(E,1)/r! |
Ω |
0.35722001484987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59826u1 |
Quadratic twists by: 13 |