Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58812j |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-235248 = -1 · 24 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 1 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290,2001] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-1:1] |
Generators of the group modulo torsion |
j |
-1000939264/87 |
j-invariant |
L |
3.6431003674317 |
L(r)(E,1)/r! |
Ω |
2.9927467258479 |
Real period |
R |
0.40576998335462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812h1 |
Quadratic twists by: 13 |