Atkin-Lehner |
2+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22646g |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21000 |
Modular degree for the optimal curve |
Δ |
-2411708416 = -1 · 214 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ -2 -2 4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-537,-5380] |
[a1,a2,a3,a4,a6] |
j |
-7774159141/1097728 |
j-invariant |
L |
0.49213493554124 |
L(r)(E,1)/r! |
Ω |
0.49213493554122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22646m1 |
Quadratic twists by: 13 |