Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490ck |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1837440 |
Modular degree for the optimal curve |
Δ |
-1613764662547331250 = -1 · 2 · 32 · 55 · 119 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1191550,504247382] |
[a1,a2,a3,a4,a6] |
j |
-79346245464611/684393750 |
j-invariant |
L |
5.3636940867199 |
L(r)(E,1)/r! |
Ω |
0.26818469988686 |
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 |
83490x1 |
Quadratic twists by: -11 |