Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bx |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
11224610496 = 26 · 32 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16012,774530] |
[a1,a2,a3,a4,a6] |
Generators |
[47845:891528:125] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
7.2664338637136 |
L(r)(E,1)/r! |
Ω |
1.1831247655123 |
Real period |
R |
6.141730843211 |
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 |
23232n1 11616t3 69696cq1 2112k1 |
Quadratic twists by: -4 8 -3 -11 |