Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fs |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13705892703498240 = 212 · 39 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86187,-7944806] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:238:1] |
Generators of the group modulo torsion |
j |
23711636464489/4590075735 |
j-invariant |
L |
6.177290791616 |
L(r)(E,1)/r! |
Ω |
0.28238928539412 |
Real period |
R |
1.8229240975046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355k2 28560dp2 |
Quadratic twists by: -4 -3 |