Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cm |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
11494064924100 = 22 · 36 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39947,-3058729] |
[a1,a2,a3,a4,a6] |
Generators |
[120057:1680328:343] |
Generators of the group modulo torsion |
j |
9670267777356649/15766892900 |
j-invariant |
L |
11.603045276662 |
L(r)(E,1)/r! |
Ω |
0.33773175072328 |
Real period |
R |
8.588950584343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790c1 |
Quadratic twists by: -3 |