Atkin-Lehner |
2+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
59072a |
Isogeny class |
Conductor |
59072 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-9983168 = -1 · 26 · 133 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -2 0 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16,154] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
-7077888/155987 |
j-invariant |
L |
2.6064162197895 |
L(r)(E,1)/r! |
Ω |
1.9248568063898 |
Real period |
R |
0.45136105902801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59072d1 923a1 |
Quadratic twists by: -4 8 |