Atkin-Lehner |
2+ 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22446a |
Isogeny class |
Conductor |
22446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
1554751838831616 = 210 · 33 · 294 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31881,-1088243] |
[a1,a2,a3,a4,a6] |
j |
132728264696500299/57583401438208 |
j-invariant |
L |
1.4867582255673 |
L(r)(E,1)/r! |
Ω |
0.37168955639183 |
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 |
22446f1 |
Quadratic twists by: -3 |