Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050b |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89376 |
Modular degree for the optimal curve |
Δ |
-58964823244800 = -1 · 219 · 37 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2490,367380] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:466:1] |
Generators of the group modulo torsion |
j |
68251027208495/2358592929792 |
j-invariant |
L |
3.3345610419815 |
L(r)(E,1)/r! |
Ω |
0.47201350526894 |
Real period |
R |
3.5322729167269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150fx1 28050dq1 |
Quadratic twists by: -3 5 |