Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bb |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-29838046294877184 = -1 · 210 · 36 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85683,12738206] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:4732:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
5.4262198854185 |
L(r)(E,1)/r! |
Ω |
0.34847451418944 |
Real period |
R |
0.64880640028992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464h1 85176bq1 |
Quadratic twists by: -3 13 |