Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320a |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13166097898176000 = -1 · 29 · 320 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58984,-295020] |
[a1,a2,a3,a4,a6] |
Generators |
[37732884447748:24119699985119889:92345408] |
Generators of the group modulo torsion |
j |
44325031294506808/25715034957375 |
j-invariant |
L |
4.6452124260523 |
L(r)(E,1)/r! |
Ω |
0.23633648800164 |
Real period |
R |
19.655079354568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320k2 56640da3 84960bn2 |
Quadratic twists by: -4 8 -3 |