Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576ba |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-954368688 = -1 · 24 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163,-1744] |
[a1,a2,a3,a4,a6] |
j |
-256000/507 |
j-invariant |
L |
1.2552912695095 |
L(r)(E,1)/r! |
Ω |
0.62764563475591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288f1 122304ew1 91728bj1 624a1 |
Quadratic twists by: -4 8 -3 -7 |