Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084l |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-16737291447340464 = -1 · 24 · 314 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5357,-6224490] |
[a1,a2,a3,a4,a6] |
j |
-9033613312/8891539371 |
j-invariant |
L |
1.05695891185 |
L(r)(E,1)/r! |
Ω |
0.17615983029903 |
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 |
1716c1 |
Quadratic twists by: -7 |