Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050c |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
549331200000000 = 214 · 33 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22000,544000] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1105:1] |
Generators of the group modulo torsion |
j |
75370704203521/35157196800 |
j-invariant |
L |
3.5202097048466 |
L(r)(E,1)/r! |
Ω |
0.46403481155162 |
Real period |
R |
3.7930448505317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150fz1 5610bk1 |
Quadratic twists by: -3 5 |