Atkin-Lehner |
5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675k |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-79045421875 = -1 · 56 · 76 · 43 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-14031] |
[a1,a2,a3,a4,a6] |
Generators |
[7278:23167:216] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
7.315807602971 |
L(r)(E,1)/r! |
Ω |
0.46083976827514 |
Real period |
R |
3.9687371329903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2107a1 1075d1 |
Quadratic twists by: 5 -7 |