Atkin-Lehner |
3- 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24645f |
Isogeny class |
Conductor |
24645 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-17639135659875 = -1 · 3 · 53 · 316 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5639,-117584] |
[a1,a2,a3,a4,a6] |
j |
19826816054460416/17639135659875 |
j-invariant |
L |
2.2792659104938 |
L(r)(E,1)/r! |
Ω |
0.37987765174894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73935j2 123225c2 |
Quadratic twists by: -3 5 |