Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830bd |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
48585517200 = 24 · 310 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-781029,-265478715] |
[a1,a2,a3,a4,a6] |
j |
72276643492008825169/66646800 |
j-invariant |
L |
2.5695242537962 |
L(r)(E,1)/r! |
Ω |
0.16059526586226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bg1 84150ge1 |
Quadratic twists by: -3 5 |