Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570d |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8.1043600456545E+29 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2091311363,22825608770309] |
[a1,a2,a3,a4,a6] |
Generators |
[158693361896605259908701546289508878074622481224256823034148685:65540481248490439097572519223059276917413394419327692104791758469:1012677160835128405177645900838821737006173094662041226157] |
Generators of the group modulo torsion |
j |
570983676137286216962798159/457469996554140806256680 |
j-invariant |
L |
3.5409843511636 |
L(r)(E,1)/r! |
Ω |
0.018209524119498 |
Real period |
R |
97.228909660853 |
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 |
102850cj2 1870h2 |
Quadratic twists by: 5 -11 |