Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850l |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
296156250000 = 24 · 36 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7317,-237659] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
2.0656293257993 |
L(r)(E,1)/r! |
Ω |
0.51640733144982 |
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 |
46800do1 650j1 1170l1 76050fd1 |
Quadratic twists by: -4 -3 5 13 |