Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331h |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
440118441 = 38 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2331,-42728] |
[a1,a2,a3,a4,a6] |
j |
1921886786737/603729 |
j-invariant |
L |
2.7483588144363 |
L(r)(E,1)/r! |
Ω |
0.68708970360906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296bz2 777d2 58275d2 16317h2 |
Quadratic twists by: -4 -3 5 -7 |