Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gs |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-100857208320000 = -1 · 212 · 36 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,669647] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:670:1] |
Generators of the group modulo torsion |
j |
-346032180025/221360128 |
j-invariant |
L |
9.2796935420181 |
L(r)(E,1)/r! |
Ω |
0.55258108116549 |
Real period |
R |
0.69972337204929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003629 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9350m2 84150bd2 |
Quadratic twists by: -3 5 |