Atkin-Lehner |
2+ 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166a |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
80789627595096 = 23 · 39 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-241693,-45833339] |
[a1,a2,a3,a4,a6] |
j |
270853478089369/14014296 |
j-invariant |
L |
0.21532013870645 |
L(r)(E,1)/r! |
Ω |
0.21532013870635 |
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 |
78498bl1 26166l1 |
Quadratic twists by: -3 -7 |