Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872bd |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-7189016576 = -1 · 212 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -2 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128,4084] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:56:1] [18:112:1] |
Generators of the group modulo torsion |
j |
56181887/1755131 |
j-invariant |
L |
10.444826533519 |
L(r)(E,1)/r! |
Ω |
0.99848288512328 |
Real period |
R |
0.65379353825264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5117a1 |
Quadratic twists by: -4 |