Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686z |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8.0585294647298E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1556655,-1142926718] |
[a1,a2,a3,a4,a6] |
j |
14991903983/28960854 |
j-invariant |
L |
1.4948316206409 |
L(r)(E,1)/r! |
Ω |
0.083046201072811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686o2 3822bc2 |
Quadratic twists by: -7 13 |