Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472bk |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
15274931197575168 = 228 · 39 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90795,-8690726] |
[a1,a2,a3,a4,a6] |
Generators |
[-5955:21014:27] |
Generators of the group modulo torsion |
j |
27721838859625/5115543552 |
j-invariant |
L |
6.78387495277 |
L(r)(E,1)/r! |
Ω |
0.27853488357209 |
Real period |
R |
6.0888916910193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434f1 19824w1 |
Quadratic twists by: -4 -3 |