Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bg |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9008640 |
Modular degree for the optimal curve |
Δ |
-1.328348530691E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3702921,-4819426702] |
[a1,a2,a3,a4,a6] |
Generators |
[1619090839704201412145108138:121124634336479833334839031348:320454749819158655883967] |
Generators of the group modulo torsion |
j |
30087739379435719088/71177797640762793 |
j-invariant |
L |
5.8396831179986 |
L(r)(E,1)/r! |
Ω |
0.065132944230794 |
Real period |
R |
44.828950901606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364i1 43152y1 |
Quadratic twists by: -4 -3 |