Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416ba |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-30523392 = -1 · 214 · 34 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-273] |
[a1,a2,a3,a4,a6] |
j |
-35152/1863 |
j-invariant |
L |
3.6662983318215 |
L(r)(E,1)/r! |
Ω |
0.91657458295537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416e1 1104a1 13248bh1 110400gd1 |
Quadratic twists by: -4 8 -3 5 |