Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bs |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-56255705507812500 = -1 · 22 · 310 · 510 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147362,24619349] |
[a1,a2,a3,a4,a6] |
Generators |
[57:4021:1] |
Generators of the group modulo torsion |
j |
-19904714311301/3164062500 |
j-invariant |
L |
11.03097645419 |
L(r)(E,1)/r! |
Ω |
0.34042247045575 |
Real period |
R |
0.81009461848763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230i2 75690x2 |
Quadratic twists by: -3 29 |