Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825c |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.8974369756331E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 11+ 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2817083,-1994741557] |
[a1,a2,a3,a4,a6] |
Generators |
[389511176048463946611717405:-134333448069253009583838339784:3274167057772446832625] |
Generators of the group modulo torsion |
j |
-253176126735155200/29669754630483 |
j-invariant |
L |
4.761072173671 |
L(r)(E,1)/r! |
Ω |
0.057885544206649 |
Real period |
R |
41.124880476844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bs2 33825z2 |
Quadratic twists by: -3 5 |