Atkin-Lehner |
2+ 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840q |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-587063040 = -1 · 28 · 3 · 5 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,-4836] |
[a1,a2,a3,a4,a6] |
j |
-59466754384/2293215 |
j-invariant |
L |
0.99927684640462 |
L(r)(E,1)/r! |
Ω |
0.4996384165895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46920n1 |
Quadratic twists by: -4 |