Atkin-Lehner |
3- 11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72369l |
Isogeny class |
Conductor |
72369 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3817971405369 = 310 · 112 · 172 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5396,-118794] |
[a1,a2,a3,a4,a6] |
j |
23830686333433/5237272161 |
j-invariant |
L |
1.1315274671374 |
L(r)(E,1)/r! |
Ω |
0.56576374283519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24123b2 |
Quadratic twists by: -3 |