Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bs |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4500200640337920 = -1 · 211 · 32 · 5 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14400,3290580] |
[a1,a2,a3,a4,a6] |
j |
-161254333699202/2197363593915 |
j-invariant |
L |
2.9531103974011 |
L(r)(E,1)/r! |
Ω |
0.36913879967494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bp6 114240fp5 85680q5 |
Quadratic twists by: -4 8 -3 |