Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950ct |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-137080013141843750 = -1 · 2 · 56 · 116 · 195 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-211813,41517367] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/4952198 |
j-invariant |
L |
6.353557944063 |
L(r)(E,1)/r! |
Ω |
0.31767790809227 |
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 |
4598k2 950a2 |
Quadratic twists by: 5 -11 |