Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bl |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-252030470074050096 = -1 · 24 · 314 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13229,24165264] |
[a1,a2,a3,a4,a6] |
Generators |
[2512:125840:1] |
Generators of the group modulo torsion |
j |
-9033613312/8891539371 |
j-invariant |
L |
3.6389905025678 |
L(r)(E,1)/r! |
Ω |
0.25142970109849 |
Real period |
R |
3.6182981635027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876j1 6864m1 |
Quadratic twists by: -4 -11 |