Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fm |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-9.8356052838803E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-874467,571613922] |
[a1,a2,a3,a4,a6] |
Generators |
[-1089:15246:1] |
Generators of the group modulo torsion |
j |
-115538049/153664 |
j-invariant |
L |
8.4020598080947 |
L(r)(E,1)/r! |
Ω |
0.17091061619508 |
Real period |
R |
1.0241781125959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246j1 13552x1 121968ds1 |
Quadratic twists by: -4 -3 -11 |