Atkin-Lehner |
2+ 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496f |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7408128 |
Modular degree for the optimal curve |
Δ |
-3.3021968777741E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 4 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104268243,409804096626] |
[a1,a2,a3,a4,a6] |
j |
-2267180835818076947489814/597185488602079 |
j-invariant |
L |
1.990287725335 |
L(r)(E,1)/r! |
Ω |
0.16585731091039 |
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 |
40248d1 80496e1 |
Quadratic twists by: -4 -3 |