Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502ca |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
482781722043456 = 26 · 38 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129614,17962013] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1131:1] |
Generators of the group modulo torsion |
j |
186463002097/373824 |
j-invariant |
L |
14.337686776924 |
L(r)(E,1)/r! |
Ω |
0.52540268946951 |
Real period |
R |
1.1370395130762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834q1 11682j1 |
Quadratic twists by: -3 -11 |