Atkin-Lehner |
2- 3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bi |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-28839240000 = -1 · 26 · 36 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,382,-7743] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-217:1] |
Generators of the group modulo torsion |
j |
8477185319/39560000 |
j-invariant |
L |
8.6711319701091 |
L(r)(E,1)/r! |
Ω |
0.59505890538262 |
Real period |
R |
1.2143240344497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890d1 |
Quadratic twists by: -3 |