Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560x |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33269760000 = 214 · 32 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-816,1620] |
[a1,a2,a3,a4,a6] |
j |
14688124849/8122500 |
j-invariant |
L |
2.0237969908738 |
L(r)(E,1)/r! |
Ω |
1.0118984954369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
570g2 18240cb2 13680br2 22800ca2 |
Quadratic twists by: -4 8 -3 5 |