Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550w |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-1016012800 = -1 · 213 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-143,1657] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:45:1] |
Generators of the group modulo torsion |
j |
-12941410585/40640512 |
j-invariant |
L |
5.5595407046517 |
L(r)(E,1)/r! |
Ω |
1.3699990006851 |
Real period |
R |
0.15607930263709 |
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 |
22550l1 |
Quadratic twists by: 5 |