Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440s |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-22120449753088000 = -1 · 217 · 53 · 675 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -1 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264908,-52965232] |
[a1,a2,a3,a4,a6] |
Generators |
[2176:98356:1] |
Generators of the group modulo torsion |
j |
-15685523123710482/168765638375 |
j-invariant |
L |
3.950092778666 |
L(r)(E,1)/r! |
Ω |
0.10515194681923 |
Real period |
R |
3.7565569617619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440a1 5360d1 107200bn1 |
Quadratic twists by: -4 8 5 |