Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570ba |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
8315156250 = 2 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21962,-1247201] |
[a1,a2,a3,a4,a6] |
Generators |
[-5452:2819:64] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
6.1948855371503 |
L(r)(E,1)/r! |
Ω |
0.39217807707361 |
Real period |
R |
2.256586229317 |
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 |
52560bk1 730c1 32850j1 |
Quadratic twists by: -4 -3 5 |