Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638l |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
314160 |
Modular degree for the optimal curve |
Δ |
-7512915968 = -1 · 217 · 31 · 432 |
Discriminant |
Eigenvalues |
2- -3 -4 1 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1422,21405] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:147:1] [25:19:1] |
Generators of the group modulo torsion |
j |
-171869667129/4063232 |
j-invariant |
L |
8.4297679690321 |
L(r)(E,1)/r! |
Ω |
1.3184682255079 |
Real period |
R |
0.37609454269845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114638e1 |
Quadratic twists by: -43 |