Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bq |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-9.3043624529664E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2099728,14723139520] |
[a1,a2,a3,a4,a6] |
Generators |
[424:117936:1] |
Generators of the group modulo torsion |
j |
-249949970503311156625/22715728644937445208 |
j-invariant |
L |
5.428126722279 |
L(r)(E,1)/r! |
Ω |
0.08805869494689 |
Real period |
R |
2.5684226518775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374l4 |
Quadratic twists by: -4 |