Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bv |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-12348636102075 = -1 · 3 · 52 · 78 · 134 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5717,32029] |
[a1,a2,a3,a4,a6] |
j |
143360000/85683 |
j-invariant |
L |
0.87113456846951 |
L(r)(E,1)/r! |
Ω |
0.43556728449244 |
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 |
47775ba1 47775n1 |
Quadratic twists by: 5 -7 |