Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570c |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
47895300 = 22 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-360,2700] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:75:1] [-12:78:1] |
Generators of the group modulo torsion |
j |
7088952961/65700 |
j-invariant |
L |
3.6451947038799 |
L(r)(E,1)/r! |
Ω |
2.0212242555256 |
Real period |
R |
0.45086470414082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560q1 2190p1 32850bv1 |
Quadratic twists by: -4 -3 5 |