Atkin-Lehner |
2+ 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24738b |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1997363313275726592 = -1 · 28 · 33 · 74 · 194 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-317285,96697424] |
[a1,a2,a3,a4,a6] |
j |
-3532403992841242456393/1997363313275726592 |
j-invariant |
L |
2.9193758149802 |
L(r)(E,1)/r! |
Ω |
0.24328131791503 |
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 |
74214p3 |
Quadratic twists by: -3 |