Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ec |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-23141376000000 = -1 · 216 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11628,535248] |
[a1,a2,a3,a4,a6] |
Generators |
[18:576:1] |
Generators of the group modulo torsion |
j |
-3639412836/484375 |
j-invariant |
L |
4.7031047685025 |
L(r)(E,1)/r! |
Ω |
0.65486340074534 |
Real period |
R |
1.795452592459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bn1 22320o1 9920x1 |
Quadratic twists by: -4 8 -3 |