Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cn |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-26927727200000000 = -1 · 211 · 58 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144255,-22481753] |
[a1,a2,a3,a4,a6] |
Generators |
[15393:234290:27] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
15.956076413833 |
L(r)(E,1)/r! |
Ω |
0.12191982270168 |
Real period |
R |
2.9743981898446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990f1 950c1 |
Quadratic twists by: 5 -11 |