Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470r |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
290433600 = 26 · 37 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,159] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
702595369/398400 |
j-invariant |
L |
5.8370558085319 |
L(r)(E,1)/r! |
Ω |
1.4890679628044 |
Real period |
R |
0.32666159606413 |
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 |
59760bk1 2490a1 37350m1 |
Quadratic twists by: -4 -3 5 |