Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dj |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-509796000000 = -1 · 28 · 32 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1644,23400] |
[a1,a2,a3,a4,a6] |
j |
1918337383856/1991390625 |
j-invariant |
L |
2.4560516402496 |
L(r)(E,1)/r! |
Ω |
0.61401291006279 |
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 |
7140d2 114240hc2 85680ey2 |
Quadratic twists by: -4 8 -3 |