Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43076a |
Isogeny class |
Conductor |
43076 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-40363245824 = -1 · 28 · 116 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11- 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,8824] |
[a1,a2,a3,a4,a6] |
j |
21296/89 |
j-invariant |
L |
1.6394075670214 |
L(r)(E,1)/r! |
Ω |
0.81970378348605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
356a1 |
Quadratic twists by: -11 |