Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11592a |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-588688128 = -1 · 28 · 33 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -5 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,324] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-138:1] [6:42:1] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
5.5247789237045 |
L(r)(E,1)/r! |
Ω |
1.012057592097 |
Real period |
R |
0.22745654359851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23184a1 92736i1 11592h1 81144g1 |
Quadratic twists by: -4 8 -3 -7 |