Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bi |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1482303110400 = 28 · 39 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9687,362266] |
[a1,a2,a3,a4,a6] |
Generators |
[77:270:1] [-63:850:1] |
Generators of the group modulo torsion |
j |
538671647824/7942725 |
j-invariant |
L |
11.679071435204 |
L(r)(E,1)/r! |
Ω |
0.85194637238955 |
Real period |
R |
0.85679332444128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440k2 |
Quadratic twists by: -3 |