Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5600a |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1225000000000000 = -1 · 212 · 514 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14300,-1808000] |
[a1,a2,a3,a4,a6] |
Generators |
[2580:130900:1] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
3.6844714953716 |
L(r)(E,1)/r! |
Ω |
0.19969655819833 |
Real period |
R |
4.6125876287164 |
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 |
5600d4 11200bt1 50400cv2 1120o4 |
Quadratic twists by: -4 8 -3 5 |