Atkin-Lehner |
2- 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bq |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-25380443126255040 = -1 · 26 · 320 · 5 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31163,-7944213] |
[a1,a2,a3,a4,a6] |
j |
-4590932395818601/34815422669760 |
j-invariant |
L |
7.6200783829887 |
L(r)(E,1)/r! |
Ω |
0.15875163298781 |
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 |
29670h1 |
Quadratic twists by: -3 |