Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82008j |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
-506303981621462016 = -1 · 210 · 39 · 174 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 2 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43116219,108970548966] |
[a1,a2,a3,a4,a6] |
Generators |
[3723:7236:1] |
Generators of the group modulo torsion |
j |
-439799235924127637484/25120026523 |
j-invariant |
L |
2.7705111147182 |
L(r)(E,1)/r! |
Ω |
0.2211629208856 |
Real period |
R |
0.52195893744053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82008d1 |
Quadratic twists by: -3 |