Atkin-Lehner |
2+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774b |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-31653082320910336 = -1 · 211 · 117 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1282199,-558577123] |
[a1,a2,a3,a4,a6] |
j |
-131593395518018721/17867339776 |
j-invariant |
L |
0.28375082594956 |
L(r)(E,1)/r! |
Ω |
0.070937707128001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434i1 |
Quadratic twists by: -11 |