Atkin-Lehner |
2+ 3- 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190h |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5834437500 = 22 · 3 · 56 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2444,46142] |
[a1,a2,a3,a4,a6] |
j |
1613510703008569/5834437500 |
j-invariant |
L |
2.7083372251471 |
L(r)(E,1)/r! |
Ω |
1.3541686125743 |
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 |
96570x2 |
Quadratic twists by: -3 |