Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968co |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.7328059479996E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212355,-203788926] |
[a1,a2,a3,a4,a6] |
Generators |
[255255:2433024:343] |
Generators of the group modulo torsion |
j |
-897199875/14680064 |
j-invariant |
L |
6.0594414564897 |
L(r)(E,1)/r! |
Ω |
0.094013733058075 |
Real period |
R |
2.6855302764159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246c2 121968cn1 121968cz2 |
Quadratic twists by: -4 -3 -11 |