Atkin-Lehner |
2- 3+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bq |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-16917120 = -1 · 27 · 33 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11+ -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,371] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:22:1] [3:-14:1] |
Generators of the group modulo torsion |
j |
-2315685267/626560 |
j-invariant |
L |
13.249491197668 |
L(r)(E,1)/r! |
Ω |
2.0843048263715 |
Real period |
R |
0.45405653551478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110h1 |
Quadratic twists by: -3 |