Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570r |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-25544160 = -1 · 25 · 37 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67,101] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
46268279/35040 |
j-invariant |
L |
5.7746012404611 |
L(r)(E,1)/r! |
Ω |
1.3565275338029 |
Real period |
R |
0.42568993968538 |
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 |
52560o1 2190e1 32850t1 |
Quadratic twists by: -4 -3 5 |