Atkin-Lehner |
3- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997m |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
36755547633 = 34 · 77 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-318942,69302547] |
[a1,a2,a3,a4,a6] |
j |
30497953426886737/312417 |
j-invariant |
L |
3.2362851674758 |
L(r)(E,1)/r! |
Ω |
0.80907130282772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11571c1 |
Quadratic twists by: -7 |