Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775l |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-44162851836796875 = -1 · 37 · 57 · 76 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -1 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-233158,-44419782] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
0.21686115567967 |
L(r)(E,1)/r! |
Ω |
0.10843057791552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555r1 975i1 |
Quadratic twists by: 5 -7 |