Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830cs |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6096468185928450 = -1 · 2 · 320 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74282,-8632069] |
[a1,a2,a3,a4,a6] |
Generators |
[921672:38155343:512] |
Generators of the group modulo torsion |
j |
-62178675647294809/8362782148050 |
j-invariant |
L |
8.2906440806557 |
L(r)(E,1)/r! |
Ω |
0.14351907559678 |
Real period |
R |
7.2208555258087 |
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 |
5610k2 84150cn2 |
Quadratic twists by: -3 5 |