Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008h |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-207404870727361536 = -1 · 210 · 321 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2542899,-1560934114] |
[a1,a2,a3,a4,a6] |
j |
-2436035204381540548/277837886241 |
j-invariant |
L |
0.95643244006497 |
L(r)(E,1)/r! |
Ω |
0.059777026701483 |
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 |
27336h1 |
Quadratic twists by: -3 |