Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690a |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
365872107101343750 = 2 · 39 · 56 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183075,-7835689] |
[a1,a2,a3,a4,a6] |
Generators |
[-27167:865096:343] |
Generators of the group modulo torsion |
j |
57960603/31250 |
j-invariant |
L |
4.8697565590904 |
L(r)(E,1)/r! |
Ω |
0.24580456375759 |
Real period |
R |
4.9528744333966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690z2 90b4 |
Quadratic twists by: -3 29 |