Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280k |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1624320 = -1 · 28 · 33 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,60] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
21296/6345 |
j-invariant |
L |
3.8141558194135 |
L(r)(E,1)/r! |
Ω |
2.0671582449546 |
Real period |
R |
1.8451203862708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2820d1 45120db1 33840cc1 56400cn1 |
Quadratic twists by: -4 8 -3 5 |