Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5922d |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17044060824 = 23 · 39 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508023,-139244315] |
[a1,a2,a3,a4,a6] |
j |
19890549858062266993/23380056 |
j-invariant |
L |
0.71530072012831 |
L(r)(E,1)/r! |
Ω |
0.17882518003208 |
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 |
47376by2 1974d2 41454bb2 |
Quadratic twists by: -4 -3 -7 |