Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134bk |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20566436461073076 = -1 · 22 · 3 · 715 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49905,-5398970] |
[a1,a2,a3,a4,a6] |
Generators |
[6303:-120814:27] [7447:639218:1] |
Generators of the group modulo torsion |
j |
323648023823/484243284 |
j-invariant |
L |
8.601718922309 |
L(r)(E,1)/r! |
Ω |
0.20321923301143 |
Real period |
R |
5.2909109499986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162h2 106134ca2 |
Quadratic twists by: -7 -19 |