Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bn |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2155125215232 = 212 · 33 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47593,-4011625] |
[a1,a2,a3,a4,a6] |
Generators |
[425:7260:1] |
Generators of the group modulo torsion |
j |
1643032000/297 |
j-invariant |
L |
7.3283392539317 |
L(r)(E,1)/r! |
Ω |
0.32323451961101 |
Real period |
R |
1.8893246258555 |
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 |
23232h1 11616q1 69696bk1 2112p1 |
Quadratic twists by: -4 8 -3 -11 |