Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880a |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1989948800000 = -1 · 210 · 55 · 75 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19481,-1055281] |
[a1,a2,a3,a4,a6] |
Generators |
[46069555105937890:25913090919076869763:145614594581] |
Generators of the group modulo torsion |
j |
-798508948769536/1943309375 |
j-invariant |
L |
6.0205197378865 |
L(r)(E,1)/r! |
Ω |
0.20202335134801 |
Real period |
R |
29.801108127919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bd1 5180d1 |
Quadratic twists by: -4 8 |