Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120b |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
550830080 = 216 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,4065] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7503:1] |
Generators of the group modulo torsion |
j |
188183524/8405 |
j-invariant |
L |
6.656121515126 |
L(r)(E,1)/r! |
Ω |
1.6237889942972 |
Real period |
R |
4.0991295904225 |
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 |
13120ba2 1640e2 118080co2 65600k2 |
Quadratic twists by: -4 8 -3 5 |