Atkin-Lehner |
2+ 3- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882i |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-1294957692 = -1 · 22 · 38 · 72 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,1705] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:40:1] [-1:41:1] |
Generators of the group modulo torsion |
j |
37595375/1776348 |
j-invariant |
L |
9.2526600850506 |
L(r)(E,1)/r! |
Ω |
1.1597946437672 |
Real period |
R |
1.9944608600811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999936764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294n1 |
Quadratic twists by: -3 |