Atkin-Lehner |
3- 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495p |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.5198204193115E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1639035,-674749278] |
[a1,a2,a3,a4,a6] |
Generators |
[-666:11358:1] |
Generators of the group modulo torsion |
j |
486954531344491670280241/85198204193115234375 |
j-invariant |
L |
4.5483968944121 |
L(r)(E,1)/r! |
Ω |
0.1350273866043 |
Real period |
R |
0.70177073715626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485h3 |
Quadratic twists by: -3 |