Atkin-Lehner |
2+ 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71440b |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4746953676800 = -1 · 211 · 52 · 19 · 474 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 0 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3744,55456] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] [34:470:1] |
Generators of the group modulo torsion |
j |
2833252478782/2317848475 |
j-invariant |
L |
7.1779079535997 |
L(r)(E,1)/r! |
Ω |
0.49815246951227 |
Real period |
R |
0.90056614100852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35720c1 |
Quadratic twists by: -4 |