Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
460c |
Isogeny class |
Conductor |
460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-89843750000 = -1 · 24 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,414,-13915] |
[a1,a2,a3,a4,a6] |
Generators |
[1839:15625:27] |
Generators of the group modulo torsion |
j |
489277573376/5615234375 |
j-invariant |
L |
1.9113524379283 |
L(r)(E,1)/r! |
Ω |
0.52799419264949 |
Real period |
R |
1.810012746861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1840f2 7360m2 4140f2 2300a2 |
Quadratic twists by: -4 8 -3 5 |