Atkin-Lehner |
2- 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
63684d |
Isogeny class |
Conductor |
63684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2072997498672 = -1 · 24 · 39 · 29 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2700,43389] |
[a1,a2,a3,a4,a6] |
j |
6912000000/6582449 |
j-invariant |
L |
3.2525982741324 |
L(r)(E,1)/r! |
Ω |
0.54209971373704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63684b1 |
Quadratic twists by: -3 |