Atkin-Lehner |
2+ 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12818c |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-1595085865984 = -1 · 210 · 13 · 173 · 293 |
Discriminant |
Eigenvalues |
2+ -2 3 2 -3 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-247,60762] |
[a1,a2,a3,a4,a6] |
j |
-1656855346537/1595085865984 |
j-invariant |
L |
1.3637045517436 |
L(r)(E,1)/r! |
Ω |
0.68185227587181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102544j1 115362q1 |
Quadratic twists by: -4 -3 |