Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085g |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27193354105880655 = -1 · 36 · 5 · 714 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1714,7934618] |
[a1,a2,a3,a4,a6] |
j |
4733169839/231139696095 |
j-invariant |
L |
0.59308708663122 |
L(r)(E,1)/r! |
Ω |
0.29654354331561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gk1 24255bs1 40425cg1 1155m1 |
Quadratic twists by: -4 -3 5 -7 |