Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829k |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-3769227 = -1 · 33 · 73 · 11 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,95] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
-4096000/10989 |
j-invariant |
L |
6.6551385883318 |
L(r)(E,1)/r! |
Ω |
2.1942083436227 |
Real period |
R |
0.50550795139814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59829f1 |
Quadratic twists by: -7 |