Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
18744h |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
1799424 = 28 · 32 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 11- -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [-4:3:1] |
Generators of the group modulo torsion |
j |
120472576/7029 |
j-invariant |
L |
6.0545312825396 |
L(r)(E,1)/r! |
Ω |
1.6853716329864 |
Real period |
R |
0.89810033052064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488i1 56232b1 |
Quadratic twists by: -4 -3 |