Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bi |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4314746880 = 212 · 36 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69348,7029088] |
[a1,a2,a3,a4,a6] |
j |
12352022024896/1445 |
j-invariant |
L |
2.1415978517024 |
L(r)(E,1)/r! |
Ω |
1.0707989258082 |
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 |
48960bn2 24480bd1 5440n2 |
Quadratic twists by: -4 8 -3 |