Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830x |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
743358413160000 = 26 · 312 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26739,-1047627] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:669:1] |
Generators of the group modulo torsion |
j |
2900285849172529/1019696040000 |
j-invariant |
L |
3.6439265399603 |
L(r)(E,1)/r! |
Ω |
0.38414234365041 |
Real period |
R |
1.1857344680272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bi2 84150fa2 |
Quadratic twists by: -3 5 |