Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368cb |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2189909988828269568 = -1 · 210 · 39 · 76 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,112749,-69691426] |
[a1,a2,a3,a4,a6] |
Generators |
[539:12152:1] |
Generators of the group modulo torsion |
j |
1804870652/24935067 |
j-invariant |
L |
4.8092862381413 |
L(r)(E,1)/r! |
Ω |
0.12741758382312 |
Real period |
R |
1.1795090672013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456h3 2232k4 |
Quadratic twists by: -3 -7 |