Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bi |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.6459361915244E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12256383,-16496942002] |
[a1,a2,a3,a4,a6] |
Generators |
[-2027:4284:1] |
Generators of the group modulo torsion |
j |
1091046322587485234896/1417789883147085 |
j-invariant |
L |
5.1087674204971 |
L(r)(E,1)/r! |
Ω |
0.080694300818585 |
Real period |
R |
3.1655069620174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840n2 28560bd2 |
Quadratic twists by: -4 -3 |