Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690k |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1777958100 = 22 · 36 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5595,-159679] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:25:1] |
Generators of the group modulo torsion |
j |
1089547389/100 |
j-invariant |
L |
4.8570870166075 |
L(r)(E,1)/r! |
Ω |
0.55201170311963 |
Real period |
R |
2.1997210331636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8410m2 75690bl2 |
Quadratic twists by: -3 29 |