Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
7.634712235105E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2632281627,50252561617354] |
[a1,a2,a3,a4,a6] |
Generators |
[-9297:8597750:1] |
Generators of the group modulo torsion |
j |
675512349748162449958490329/25568496800736303750000 |
j-invariant |
L |
7.082556817529 |
L(r)(E,1)/r! |
Ω |
0.03413829548928 |
Real period |
R |
1.4819044361257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bi2 28560do2 |
Quadratic twists by: -4 -3 |