Atkin-Lehner |
5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4205a |
Isogeny class |
Conductor |
4205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
86249381545 = 5 · 297 |
Discriminant |
Eigenvalues |
1 0 5+ -2 6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2260,39435] |
[a1,a2,a3,a4,a6] |
Generators |
[12278:13985:343] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
3.927848505007 |
L(r)(E,1)/r! |
Ω |
1.0568997053782 |
Real period |
R |
7.4327743399292 |
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 |
67280l1 37845j1 21025a1 145a1 |
Quadratic twists by: -4 -3 5 29 |