Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bf |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.4604847001048E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,656637,122521138] |
[a1,a2,a3,a4,a6] |
Generators |
[7887386:-485089038:2197] |
Generators of the group modulo torsion |
j |
41944235097461756/32960453908725 |
j-invariant |
L |
6.7461319336317 |
L(r)(E,1)/r! |
Ω |
0.1367027584466 |
Real period |
R |
12.337227147151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840l3 28560cb3 |
Quadratic twists by: -4 -3 |