Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84175a |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-214575417000546875 = -1 · 57 · 7 · 139 · 37 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5208133,-4573109207] |
[a1,a2,a3,a4,a6] |
Generators |
[274778142016971493:-76156723529528475597:3573857582569] |
Generators of the group modulo torsion |
j |
-999884804423623376896/13732826688035 |
j-invariant |
L |
2.8909334360336 |
L(r)(E,1)/r! |
Ω |
0.049968772112555 |
Real period |
R |
28.927401192906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16835f3 |
Quadratic twists by: 5 |