Atkin-Lehner |
3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059g |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-42768243 = -1 · 36 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
0 3- -4 7+ 4 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,1071] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
-1073741824/58667 |
j-invariant |
L |
2.9950471933185 |
L(r)(E,1)/r! |
Ω |
2.005090328736 |
Real period |
R |
0.74686091454208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451b1 |
Quadratic twists by: -3 |