Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dy |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.9305456933021E+26 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5405282317,152964022919819] |
[a1,a2,a3,a4,a6] |
Generators |
[329718980:3383363153:8000] [42459910:51331009:1000] |
Generators of the group modulo torsion |
j |
-6150311179917589675873/244053849830826 |
j-invariant |
L |
15.677330631515 |
L(r)(E,1)/r! |
Ω |
0.047757880459252 |
Real period |
R |
20.516680285233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138q3 4998bg3 |
Quadratic twists by: -7 17 |