Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bv |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-178125000000000 = -1 · 29 · 3 · 514 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9992,-511012] |
[a1,a2,a3,a4,a6] |
j |
13789468792/22265625 |
j-invariant |
L |
4.8095076598287 |
L(r)(E,1)/r! |
Ω |
0.30059422875457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600d2 91200l3 9120e4 |
Quadratic twists by: -4 8 5 |