Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830k |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-15076233216000 = -1 · 215 · 39 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7710,-318700] |
[a1,a2,a3,a4,a6] |
Generators |
[6868:14791:64] |
Generators of the group modulo torsion |
j |
-2575296504243/765952000 |
j-invariant |
L |
3.1118315100442 |
L(r)(E,1)/r! |
Ω |
0.25090025164428 |
Real period |
R |
6.2013319828313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16830bo1 84150ef2 |
Quadratic twists by: -3 5 |