Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720b |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2942720 = -1 · 28 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,78] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
2122416/11495 |
j-invariant |
L |
3.4639854134509 |
L(r)(E,1)/r! |
Ω |
1.830293513069 |
Real period |
R |
1.8925846530716 |
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 |
8360m1 66880dp1 83600b1 |
Quadratic twists by: -4 8 5 |