Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ed |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-767775316377600 = -1 · 224 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22452,317072] |
[a1,a2,a3,a4,a6] |
Generators |
[3252:58960:27] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
7.653660145031 |
L(r)(E,1)/r! |
Ω |
0.31128948248036 |
Real period |
R |
6.1467384694752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bo1 22320bu1 29760bx1 |
Quadratic twists by: -4 8 -3 |