Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880p |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16973824000 = -1 · 219 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-6783] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1440:1] |
Generators of the group modulo torsion |
j |
-24137569/64750 |
j-invariant |
L |
9.8025434891587 |
L(r)(E,1)/r! |
Ω |
0.50039328720868 |
Real period |
R |
1.6324731867189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bw1 2590d1 |
Quadratic twists by: -4 8 |