Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467a |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-24361803 = -1 · 34 · 673 |
Discriminant |
Eigenvalues |
0 3+ -4 4 4 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,45,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[45:301:1] |
Generators of the group modulo torsion |
j |
32768/81 |
j-invariant |
L |
2.9996995162959 |
L(r)(E,1)/r! |
Ω |
1.09905029192 |
Real period |
R |
0.68233900176113 |
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 |
40401f1 13467f1 |
Quadratic twists by: -3 -67 |