Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
1139b |
Isogeny class |
Conductor |
1139 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
22054457 = 173 · 672 |
Discriminant |
Eigenvalues |
-1 -2 -4 -2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80,151] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
56667352321/22054457 |
j-invariant |
L |
0.83648513750905 |
L(r)(E,1)/r! |
Ω |
1.9537274198662 |
Real period |
R |
0.28543222184882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18224j1 72896f1 10251i1 28475c1 |
Quadratic twists by: -4 8 -3 5 |