Atkin-Lehner |
2- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27412a |
Isogeny class |
Conductor |
27412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-135086336 = -1 · 28 · 72 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11- 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1567,-23882] |
[a1,a2,a3,a4,a6] |
j |
-1662228545616/527681 |
j-invariant |
L |
1.5175885135789 |
L(r)(E,1)/r! |
Ω |
0.37939712839471 |
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 |
109648u1 |
Quadratic twists by: -4 |