Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475w |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.8071077373276E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,269208,-197401509] |
[a1,a2,a3,a4,a6] |
Generators |
[23666970:-732028453:27000] |
Generators of the group modulo torsion |
j |
189425802193991/1586486902455 |
j-invariant |
L |
6.0481057373055 |
L(r)(E,1)/r! |
Ω |
0.10815652610048 |
Real period |
R |
13.979983352292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825j4 4095l4 |
Quadratic twists by: -3 5 |