Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120b |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
16793600 = 214 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,-175] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] |
Generators of the group modulo torsion |
j |
3631696/1025 |
j-invariant |
L |
6.656121515126 |
L(r)(E,1)/r! |
Ω |
1.6237889942972 |
Real period |
R |
2.0495647952112 |
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 |
13120ba1 1640e1 118080co1 65600k1 |
Quadratic twists by: -4 8 -3 5 |