Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810a |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.7191529524757E+23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6382175154,-196246703864508] |
[a1,a2,a3,a4,a6] |
Generators |
[207527145457723915551814126167248810794957311390533215076256347056613122593421705103378685:56664447233310302314647976063653019333760119781757499641868889035708761911474275129709069417:1553402151921635135710243890082158325017938437414222221677507769231884670681946482657] |
Generators of the group modulo torsion |
j |
-1033202467754104941601/6178315520 |
j-invariant |
L |
4.6412055920562 |
L(r)(E,1)/r! |
Ω |
0.0084455391435422 |
Real period |
R |
137.38630279172 |
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 |
82810be2 6370s2 |
Quadratic twists by: -7 13 |