Atkin-Lehner |
3- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331j |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
367408940147487 = 311 · 76 · 172 · 61 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-710411,-230289460] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:283:1] |
Generators of the group modulo torsion |
j |
54390699353931858793/503990315703 |
j-invariant |
L |
1.0367767203321 |
L(r)(E,1)/r! |
Ω |
0.16444566315504 |
Real period |
R |
1.5761691443079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21777h2 |
Quadratic twists by: -3 |