Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400b |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4032800000000 = 211 · 58 · 712 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26075,-1617750] |
[a1,a2,a3,a4,a6] |
Generators |
[74310:1185625:216] |
Generators of the group modulo torsion |
j |
61269831378/126025 |
j-invariant |
L |
6.0529499386934 |
L(r)(E,1)/r! |
Ω |
0.37574840258759 |
Real period |
R |
8.0545251782973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14200e2 113600bw2 5680b2 |
Quadratic twists by: -4 8 5 |