Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4420b |
Isogeny class |
Conductor |
4420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
2210000 = 24 · 54 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-212] |
[a1,a2,a3,a4,a6] |
j |
1927561216/138125 |
j-invariant |
L |
1.6868407090422 |
L(r)(E,1)/r! |
Ω |
1.6868407090422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17680m1 70720c1 39780r1 22100f1 |
Quadratic twists by: -4 8 -3 5 |