Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830t |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-249614868164062500 = -1 · 22 · 37 · 516 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,34470,-23919800] |
[a1,a2,a3,a4,a6] |
Generators |
[291:3124:1] |
Generators of the group modulo torsion |
j |
6213165856218719/342407226562500 |
j-invariant |
L |
3.7133521028831 |
L(r)(E,1)/r! |
Ω |
0.14904909112496 |
Real period |
R |
6.2284044720707 |
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 |
5610bb4 84150fu3 |
Quadratic twists by: -3 5 |