Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81356j |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-223891712 = -1 · 28 · 11 · 433 |
Discriminant |
Eigenvalues |
2- -3 0 -2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3655,85054] |
[a1,a2,a3,a4,a6] |
Generators |
[43:86:1] |
Generators of the group modulo torsion |
j |
-265302000/11 |
j-invariant |
L |
2.1946989550764 |
L(r)(E,1)/r! |
Ω |
1.6611457587919 |
Real period |
R |
0.22019931565317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81356i1 |
Quadratic twists by: -43 |