Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ev |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-65538765619200 = -1 · 219 · 36 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1601292,-779927024] |
[a1,a2,a3,a4,a6] |
Generators |
[1602:27680:1] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
7.5650245559402 |
L(r)(E,1)/r! |
Ω |
0.067104542802811 |
Real period |
R |
4.697287893401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54720bq2 13680z2 6080p2 |
Quadratic twists by: -4 8 -3 |