Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880n |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-47121987584000 = -1 · 214 · 53 · 75 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40885,3212717] |
[a1,a2,a3,a4,a6] |
Generators |
[124:185:1] |
Generators of the group modulo torsion |
j |
-461324374319104/2876097875 |
j-invariant |
L |
5.5343501421733 |
L(r)(E,1)/r! |
Ω |
0.64045216827954 |
Real period |
R |
1.4402194828445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bt1 5180a1 |
Quadratic twists by: -4 8 |