Atkin-Lehner |
3+ 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
59085a |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
-2304315 = -1 · 33 · 5 · 132 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 -1 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[14:19:8] [6:15:1] |
Generators of the group modulo torsion |
j |
108531333/85345 |
j-invariant |
L |
10.260562162794 |
L(r)(E,1)/r! |
Ω |
1.4411193673994 |
Real period |
R |
1.7799639632406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59085b1 |
Quadratic twists by: -3 |