Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bo |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
9672000000000 = 212 · 3 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3135061,2137615261] |
[a1,a2,a3,a4,a6] |
Generators |
[24870516:3850585:24389] |
Generators of the group modulo torsion |
j |
831958932702053269504/2361328125 |
j-invariant |
L |
5.000443020353 |
L(r)(E,1)/r! |
Ω |
0.4801102550539 |
Real period |
R |
10.415197289954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045i3 |
Quadratic twists by: -4 |