Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050f |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1041356250000 = 24 · 34 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2169525,1229068125] |
[a1,a2,a3,a4,a6] |
Generators |
[849:-375:1] |
Generators of the group modulo torsion |
j |
72276643492008825169/66646800 |
j-invariant |
L |
1.6905180040211 |
L(r)(E,1)/r! |
Ω |
0.54865351996087 |
Real period |
R |
0.77030308861483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ge1 5610bg1 |
Quadratic twists by: -3 5 |