Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675j |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2709722900390625 = 37 · 514 · 7 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-733730,-241712728] |
[a1,a2,a3,a4,a6] |
j |
3835168345623889/237890625 |
j-invariant |
L |
1.3049898543924 |
L(r)(E,1)/r! |
Ω |
0.16312373176773 |
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 |
15225p4 9135m3 |
Quadratic twists by: -3 5 |