Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11592s |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-33862364928 = -1 · 28 · 36 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,3890] |
[a1,a2,a3,a4,a6] |
Generators |
[13:126:1] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
3.1372290507989 |
L(r)(E,1)/r! |
Ω |
0.73962088109485 |
Real period |
R |
0.35347265188922 |
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 |
23184g1 92736cs1 1288d1 81144ce1 |
Quadratic twists by: -4 8 -3 -7 |