Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085d |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-1547810464921875 = -1 · 37 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,26689,-884458] |
[a1,a2,a3,a4,a6] |
j |
17869652393984/13156171875 |
j-invariant |
L |
1.0679388530197 |
L(r)(E,1)/r! |
Ω |
0.26698471325493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360gs1 24255br1 40425cd1 1155k1 |
Quadratic twists by: -4 -3 5 -7 |