Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gd |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
19677134466000000 = 27 · 314 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-315955580,2161737850047] |
[a1,a2,a3,a4,a6] |
Generators |
[10445:-37299:1] |
Generators of the group modulo torsion |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
8.5611757503552 |
L(r)(E,1)/r! |
Ω |
0.18698306740355 |
Real period |
R |
0.81760418527983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050e4 3366j3 |
Quadratic twists by: -3 5 |