Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088o |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-81743551488 = -1 · 210 · 38 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 2 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-13754] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1296:1] |
Generators of the group modulo torsion |
j |
4/9 |
j-invariant |
L |
4.4473677577226 |
L(r)(E,1)/r! |
Ω |
0.50226919813765 |
Real period |
R |
2.2136375146109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76176x1 12696r1 38088g1 |
Quadratic twists by: -4 -3 -23 |