Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150es |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-28678951125000 = -1 · 23 · 38 · 56 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6970,125597] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-695:1] |
Generators of the group modulo torsion |
j |
3288008303/2517768 |
j-invariant |
L |
10.378791674053 |
L(r)(E,1)/r! |
Ω |
0.42545134748663 |
Real period |
R |
1.0164491323236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bj2 3366f2 |
Quadratic twists by: -3 5 |