Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416j |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
914112 = 26 · 33 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,26] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
39304000/14283 |
j-invariant |
L |
4.4533193751224 |
L(r)(E,1)/r! |
Ω |
2.5614995565017 |
Real period |
R |
1.1590396632626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416b1 2208b2 13248c1 110400m1 |
Quadratic twists by: -4 8 -3 5 |