Atkin-Lehner |
3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265b |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.3995543739666E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21356018,38020156563] |
[a1,a2,a3,a4,a6] |
Generators |
[3694:95903:1] |
Generators of the group modulo torsion |
j |
-608034844023962128129/790011957796875 |
j-invariant |
L |
3.2871407163312 |
L(r)(E,1)/r! |
Ω |
0.15149365060944 |
Real period |
R |
5.4245519581914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115b2 |
Quadratic twists by: -11 |