Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470gd |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-8325347738526000 = -1 · 24 · 36 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50668,11431] |
[a1,a2,a3,a4,a6] |
Generators |
[11:749:1] |
Generators of the group modulo torsion |
j |
24191271/14000 |
j-invariant |
L |
11.417444871108 |
L(r)(E,1)/r! |
Ω |
0.24733556149188 |
Real period |
R |
3.8468133353444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830e1 106470bg1 |
Quadratic twists by: -3 13 |