Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710q |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.3934993383087E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48012587,-128069780739] |
[a1,a2,a3,a4,a6] |
Generators |
[-31970:20467:8] |
Generators of the group modulo torsion |
j |
507102228823216499929/2648775168000 |
j-invariant |
L |
4.3352758124478 |
L(r)(E,1)/r! |
Ω |
0.057353630336852 |
Real period |
R |
6.2990430186888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630k3 |
Quadratic twists by: 17 |