Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570g |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
53217000 = 23 · 36 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,-459] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:11:1] |
Generators of the group modulo torsion |
j |
374805361/73000 |
j-invariant |
L |
3.1727385144503 |
L(r)(E,1)/r! |
Ω |
1.4191101510984 |
Real period |
R |
2.2357239231885 |
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 |
52560bc1 730k1 32850bs1 |
Quadratic twists by: -4 -3 5 |