Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
850f |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-164135469200 = -1 · 24 · 52 · 177 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 4 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1357,-2559] |
[a1,a2,a3,a4,a6] |
j |
11053587253415/6565418768 |
j-invariant |
L |
2.3875691311524 |
L(r)(E,1)/r! |
Ω |
0.5968922827881 |
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 |
6800j1 27200e1 7650ba1 850d1 |
Quadratic twists by: -4 8 -3 5 |