Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240co |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-268005441208320 = -1 · 216 · 316 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641,787455] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:384:1] [-41:864:1] |
Generators of the group modulo torsion |
j |
-445138564/4089438495 |
j-invariant |
L |
7.2459928890578 |
L(r)(E,1)/r! |
Ω |
0.44110132807928 |
Real period |
R |
1.026690528315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240e4 4560c4 54720fd3 91200gi3 |
Quadratic twists by: -4 8 -3 5 |