Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720dd |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
3030941721600000 = 213 · 36 · 55 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536960,151245108] |
[a1,a2,a3,a4,a6] |
Generators |
[466:1560:1] [-689:13950:1] |
Generators of the group modulo torsion |
j |
4180135669841427841/739976006250 |
j-invariant |
L |
13.472345102841 |
L(r)(E,1)/r! |
Ω |
0.43639667998326 |
Real period |
R |
0.25726488691093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090u2 |
Quadratic twists by: -4 |