Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bk |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2519331140526750 = -1 · 2 · 39 · 53 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23272,-1996919] |
[a1,a2,a3,a4,a6] |
Generators |
[5661726:32152793:74088] |
Generators of the group modulo torsion |
j |
70819203762117/127995282250 |
j-invariant |
L |
6.1209654116237 |
L(r)(E,1)/r! |
Ω |
0.23961578738172 |
Real period |
R |
12.772458523095 |
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 |
16830m2 84150b4 |
Quadratic twists by: -3 5 |