Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dq |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.0903064631385E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15151380,44817030992] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:207504:1] |
Generators of the group modulo torsion |
j |
2012856588372458375/5705334819790848 |
j-invariant |
L |
9.3465710423039 |
L(r)(E,1)/r! |
Ω |
0.061279004107367 |
Real period |
R |
4.7664016108845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384n2 30096u2 40128bh2 |
Quadratic twists by: -4 8 -3 |