Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830by |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
326602643400 = 23 · 38 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6188,-183769] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:67:1] |
Generators of the group modulo torsion |
j |
35940267099001/448014600 |
j-invariant |
L |
7.1931746673026 |
L(r)(E,1)/r! |
Ω |
0.53869739855757 |
Real period |
R |
1.1127420029877 |
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 |
5610v2 84150bv2 |
Quadratic twists by: -3 5 |