Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075q |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12128819279765625 = 32 · 57 · 297 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146334438,-681358538133] |
[a1,a2,a3,a4,a6] |
j |
37286818682653441/1305 |
j-invariant |
L |
1.3890340712507 |
L(r)(E,1)/r! |
Ω |
0.043407314568998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12615b3 2175b3 |
Quadratic twists by: 5 29 |