Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ci |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1.3403298930528E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5892104,5530607753] |
[a1,a2,a3,a4,a6] |
Generators |
[1253:-11443:1] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
9.5136829348273 |
L(r)(E,1)/r! |
Ω |
0.18563152961929 |
Real period |
R |
1.7083453718506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686ct2 294e2 |
Quadratic twists by: -7 13 |