Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280el |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-148104806400 = -1 · 218 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-19312] |
[a1,a2,a3,a4,a6] |
Generators |
[44:200:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
4.5786500282194 |
L(r)(E,1)/r! |
Ω |
0.43154689308019 |
Real period |
R |
2.6524637855986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bt1 22320bz1 9920bc1 |
Quadratic twists by: -4 8 -3 |