Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448c |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-215737344 = -1 · 210 · 36 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,290] |
[a1,a2,a3,a4,a6] |
j |
415292/289 |
j-invariant |
L |
2.2442213951365 |
L(r)(E,1)/r! |
Ω |
1.1221106975683 |
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 |
1224b2 9792br2 272c2 61200bw2 |
Quadratic twists by: -4 8 -3 5 |