Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720cw |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-3308978964234240000 = -1 · 218 · 38 · 54 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297000,-107527500] |
[a1,a2,a3,a4,a6] |
Generators |
[750:9600:1] |
Generators of the group modulo torsion |
j |
-707350352645673001/807856192440000 |
j-invariant |
L |
6.3124875878664 |
L(r)(E,1)/r! |
Ω |
0.097912698807028 |
Real period |
R |
2.0147053397851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590g4 |
Quadratic twists by: -4 |