Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ee |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1720643420160000 = -1 · 219 · 37 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3732,1993808] |
[a1,a2,a3,a4,a6] |
j |
30080231/9003750 |
j-invariant |
L |
2.9268152984983 |
L(r)(E,1)/r! |
Ω |
0.36585191231228 |
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 |
20160bf4 5040bo4 6720bv4 100800lx3 |
Quadratic twists by: -4 8 -3 5 |