Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075z |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-21123046875 = -1 · 3 · 510 · 7 · 103 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-833,-11881] |
[a1,a2,a3,a4,a6] |
j |
-6553600/2163 |
j-invariant |
L |
3.9326887801329 |
L(r)(E,1)/r! |
Ω |
0.43696541997729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075o1 |
Quadratic twists by: 5 |