Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bn |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10791381540462138 = 2 · 322 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328253,-72132181] |
[a1,a2,a3,a4,a6] |
j |
5365634122561071241/14802992510922 |
j-invariant |
L |
7.1816129939403 |
L(r)(E,1)/r! |
Ω |
0.1994892498337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398n2 |
Quadratic twists by: -3 |