Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085u |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
91722101625 = 34 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9973,-383869] |
[a1,a2,a3,a4,a6] |
j |
932288503609/779625 |
j-invariant |
L |
2.8666282024643 |
L(r)(E,1)/r! |
Ω |
0.47777136707738 |
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 |
129360fl1 24255bi1 40425l1 1155c1 |
Quadratic twists by: -4 -3 5 -7 |