Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bf |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19094400 |
Modular degree for the optimal curve |
Δ |
-1.4901693048622E+27 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,203110050,-1485892087875] |
[a1,a2,a3,a4,a6] |
Generators |
[814919086707816370956098933057586131060407897952783834142655716:-338377003135791949658762656633990607299597038316763759138786877231:4769513895449994524903026903229167205371986489825976191769] |
Generators of the group modulo torsion |
j |
48412981936758748562855/77853743274432041397 |
j-invariant |
L |
5.0418384402105 |
L(r)(E,1)/r! |
Ω |
0.025188458030485 |
Real period |
R |
100.08231615664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775cq1 47775da1 |
Quadratic twists by: 5 -7 |