Atkin-Lehner |
5+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175d |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
3338327890625 = 57 · 74 · 13 · 372 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45938,3784867] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-536:1] |
Generators of the group modulo torsion |
j |
686152305984601/213652985 |
j-invariant |
L |
2.808867515952 |
L(r)(E,1)/r! |
Ω |
0.77759822184194 |
Real period |
R |
0.90305875135969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16835e1 |
Quadratic twists by: 5 |