Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880d |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4019401523200 = -1 · 224 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6081,-208481] |
[a1,a2,a3,a4,a6] |
Generators |
[109:660:1] |
Generators of the group modulo torsion |
j |
-94881210481/15332800 |
j-invariant |
L |
3.8040961361434 |
L(r)(E,1)/r! |
Ω |
0.26793751932174 |
Real period |
R |
3.5494246432822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880bf1 2590e1 |
Quadratic twists by: -4 8 |