Atkin-Lehner |
2- 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766be |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
83446446125952 = 27 · 38 · 72 · 134 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46473,-3834855] |
[a1,a2,a3,a4,a6] |
Generators |
[498:-10077:1] |
Generators of the group modulo torsion |
j |
11100088008947652625/83446446125952 |
j-invariant |
L |
10.520114319825 |
L(r)(E,1)/r! |
Ω |
0.32530906085179 |
Real period |
R |
0.28873955092223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298d2 |
Quadratic twists by: -3 |