Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13467k |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53856 |
Modular degree for the optimal curve |
Δ |
-54546404447907 = -1 · 32 · 677 |
Discriminant |
Eigenvalues |
2 3- 0 0 6 -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7482,-250927] |
[a1,a2,a3,a4,a6] |
Generators |
[81942:12095:2744] |
Generators of the group modulo torsion |
j |
512000/603 |
j-invariant |
L |
11.062845152829 |
L(r)(E,1)/r! |
Ω |
0.33820227810274 |
Real period |
R |
4.0888418962203 |
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 |
40401q1 201a1 |
Quadratic twists by: -3 -67 |