Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4512l |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-177619392 = -1 · 26 · 310 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,-648] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
-10648000/2775303 |
j-invariant |
L |
4.3765294066205 |
L(r)(E,1)/r! |
Ω |
0.80613439346644 |
Real period |
R |
1.0858063970701 |
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 |
4512c1 9024a2 13536k1 112800g1 |
Quadratic twists by: -4 8 -3 5 |