Atkin-Lehner |
2- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21488h |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
27026059264 = 212 · 174 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 -1 2 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-3392] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
3.7840572650338 |
L(r)(E,1)/r! |
Ω |
0.94080079032694 |
Real period |
R |
0.50277079164108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1343a1 85952s1 |
Quadratic twists by: -4 8 |