Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352x |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4.5604187112704E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36923456,55679653172] |
[a1,a2,a3,a4,a6] |
Generators |
[533630584460:-497443279313574:614125] |
Generators of the group modulo torsion |
j |
1359160622839941451020863/1113383474431250961168 |
j-invariant |
L |
6.1103115659301 |
L(r)(E,1)/r! |
Ω |
0.049989390075998 |
Real period |
R |
15.279021099879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4794e6 115056p5 |
Quadratic twists by: -4 -3 |