Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830j |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4711322880 = -1 · 28 · 39 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150,-3340] |
[a1,a2,a3,a4,a6] |
Generators |
[76:610:1] |
Generators of the group modulo torsion |
j |
-19034163/239360 |
j-invariant |
L |
3.3288941009528 |
L(r)(E,1)/r! |
Ω |
0.58562192018692 |
Real period |
R |
1.4210935358645 |
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 |
16830bn1 84150eg1 |
Quadratic twists by: -3 5 |