Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312br |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
146967980370849792 = 212 · 310 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182145,-23620401] |
[a1,a2,a3,a4,a6] |
j |
92100460096/20253807 |
j-invariant |
L |
2.3471855413339 |
L(r)(E,1)/r! |
Ω |
0.23471856116667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312o2 672b2 |
Quadratic twists by: -4 -11 |