Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470ek |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
7576066442058660 = 22 · 36 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87743,9107011] |
[a1,a2,a3,a4,a6] |
j |
9663597/980 |
j-invariant |
L |
1.6202675033384 |
L(r)(E,1)/r! |
Ω |
0.40506684491726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830j1 106470db1 |
Quadratic twists by: -3 13 |