Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bj |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.3834332398924E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-592779,-3190249942] |
[a1,a2,a3,a4,a6] |
Generators |
[13504691584815330636216688:455709817956093764743920375:6356578987013474971648] |
Generators of the group modulo torsion |
j |
-17418812548/3314597517 |
j-invariant |
L |
8.8704725065922 |
L(r)(E,1)/r! |
Ω |
0.061536325921495 |
Real period |
R |
36.037545088981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984cg3 40656l3 11088v4 |
Quadratic twists by: -4 -3 -11 |