Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bi |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1.8639434167737E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164517602,-785155145871] |
[a1,a2,a3,a4,a6] |
j |
675512349748162449958490329/25568496800736303750000 |
j-invariant |
L |
4.7323330503429 |
L(r)(E,1)/r! |
Ω |
0.042252973663776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680fr2 3570b2 53550ca2 74970db2 |
Quadratic twists by: -4 -3 5 -7 |