Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bd |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
5 |
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 |
[80:49:1] |
Generators of the group modulo torsion |
j |
-798508948769536/1943309375 |
j-invariant |
L |
5.457784266173 |
L(r)(E,1)/r! |
Ω |
0.8313430132173 |
Real period |
R |
1.3130041821548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880a1 20720p1 |
Quadratic twists by: -4 8 |