Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320t |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
17323683840 = 212 · 35 · 5 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6401,194895] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:531:1] |
Generators of the group modulo torsion |
j |
7082312601664/4229415 |
j-invariant |
L |
6.109198181306 |
L(r)(E,1)/r! |
Ω |
1.2173966558106 |
Real period |
R |
1.0036495750415 |
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 |
28320f2 56640n1 84960q2 |
Quadratic twists by: -4 8 -3 |