Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8664n |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-22457088 = -1 · 28 · 35 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -4 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,240] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] [-2:18:1] |
Generators of the group modulo torsion |
j |
-104272/243 |
j-invariant |
L |
5.4561906203917 |
L(r)(E,1)/r! |
Ω |
1.8990015370357 |
Real period |
R |
0.14365945771983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17328g1 69312r1 25992j1 8664b1 |
Quadratic twists by: -4 8 -3 -19 |