Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dy |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2159136000 = 28 · 34 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:42:1] [-12:60:1] |
Generators of the group modulo torsion |
j |
146069264/67473 |
j-invariant |
L |
12.032777584664 |
L(r)(E,1)/r! |
Ω |
1.3107670842662 |
Real period |
R |
0.57374693648529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400x2 |
Quadratic twists by: 5 |