Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450ck |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-8.5703025174061E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1086813,623259117] |
[a1,a2,a3,a4,a6] |
j |
-9085904860560159241/5484993611139900 |
j-invariant |
L |
6.3889022354882 |
L(r)(E,1)/r! |
Ω |
0.17746950654134 |
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 |
64350bv1 4290g1 |
Quadratic twists by: -3 5 |