Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bk |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
2334657600 = 26 · 33 · 52 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3338,75017] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:151:1] |
Generators of the group modulo torsion |
j |
152298969481827/86468800 |
j-invariant |
L |
6.1209654116237 |
L(r)(E,1)/r! |
Ω |
1.4376947242903 |
Real period |
R |
2.1287430871825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16830m3 84150b1 |
Quadratic twists by: -3 5 |