Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fe |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82268263526400 = 212 · 39 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8812947,-10070008814] |
[a1,a2,a3,a4,a6] |
Generators |
[5342:308700:1] |
Generators of the group modulo torsion |
j |
25351269426118370449/27551475 |
j-invariant |
L |
7.0272235034706 |
L(r)(E,1)/r! |
Ω |
0.087623231384314 |
Real period |
R |
5.0123861262026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999967499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355p4 28560de4 |
Quadratic twists by: -4 -3 |