Atkin-Lehner |
2- 7- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
105742n |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-30740852640640688 = -1 · 24 · 76 · 134 · 833 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -5 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29709,-8209533] |
[a1,a2,a3,a4,a6] |
Generators |
[165:996:1] |
Generators of the group modulo torsion |
j |
24649793075727/261292936112 |
j-invariant |
L |
3.5091807134975 |
L(r)(E,1)/r! |
Ω |
0.18291977243849 |
Real period |
R |
0.39967211270587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999994871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158c1 |
Quadratic twists by: -7 |