Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166z |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-94990743792 = -1 · 24 · 34 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48,14832] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:68:1] |
Generators of the group modulo torsion |
j |
103823/807408 |
j-invariant |
L |
10.80176922511 |
L(r)(E,1)/r! |
Ω |
0.84176267934523 |
Real period |
R |
3.2080803444245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78498r1 3738c1 |
Quadratic twists by: -3 -7 |