Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008f |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-954203099904 = -1 · 28 · 36 · 17 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -3 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,69460] |
[a1,a2,a3,a4,a6] |
j |
-10463552512/5112971 |
j-invariant |
L |
3.2884116496835 |
L(r)(E,1)/r! |
Ω |
0.82210292479334 |
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 |
9112c1 |
Quadratic twists by: -3 |