Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13260p |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
69813900000000 = 28 · 35 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24740,-1451100] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:150:1] |
Generators of the group modulo torsion |
j |
6541847063933776/272710546875 |
j-invariant |
L |
5.4549702047326 |
L(r)(E,1)/r! |
Ω |
0.38164914530624 |
Real period |
R |
0.23821924193207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040bw2 39780m2 66300j2 |
Quadratic twists by: -4 -3 5 |