Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272p |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
-3439790848 = -1 · 28 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -5 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-416,4316] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:86:1] |
Generators of the group modulo torsion |
j |
-184025088/79507 |
j-invariant |
L |
2.0161219628562 |
L(r)(E,1)/r! |
Ω |
1.3190321872098 |
Real period |
R |
0.25474763575083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998801194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29068b1 116272o1 |
Quadratic twists by: -4 13 |