Atkin-Lehner |
2+ 3+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5658a |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-848559127446065088 = -1 · 26 · 36 · 235 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13059,44321661] |
[a1,a2,a3,a4,a6] |
j |
246264331367179943/848559127446065088 |
j-invariant |
L |
0.88488411357979 |
L(r)(E,1)/r! |
Ω |
0.22122102839495 |
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 |
45264w1 16974o1 |
Quadratic twists by: -4 -3 |