Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200y |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-226800 = -1 · 24 · 34 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,53] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
4.1860868845638 |
L(r)(E,1)/r! |
Ω |
3.072579917702 |
Real period |
R |
0.17030016292036 |
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 |
8400h1 33600i1 12600o1 4200i1 |
Quadratic twists by: -4 8 -3 5 |