Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850bb |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-970444800000000 = -1 · 218 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29367,2456541] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
j-invariant |
L |
1.867092315784 |
L(r)(E,1)/r! |
Ω |
0.466773078946 |
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 |
46800fr1 650l1 5850bo1 76050gg1 |
Quadratic twists by: -4 -3 5 13 |