Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120bi |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4198400000000 = 218 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14828,687952] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1152:1] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
4.8216491194533 |
L(r)(E,1)/r! |
Ω |
0.78221452784585 |
Real period |
R |
3.0820503505169 |
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 |
13120l3 3280m3 118080fq4 65600bx4 |
Quadratic twists by: -4 8 -3 5 |