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 |
5504323962635550720 = 220 · 316 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1516307,-709369549] |
[a1,a2,a3,a4,a6] |
Generators |
[4059:242914:1] |
Generators of the group modulo torsion |
j |
21685195471991381/309586821120 |
j-invariant |
L |
11.03097645419 |
L(r)(E,1)/r! |
Ω |
0.1361689881823 |
Real period |
R |
2.0252365462191 |
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 |
25230i3 75690x3 |
Quadratic twists by: -3 29 |