Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1907070297440256000 = 221 · 316 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-582273,157776417] |
[a1,a2,a3,a4,a6] |
Generators |
[752:12025:1] |
Generators of the group modulo torsion |
j |
666276475992821/58199166792 |
j-invariant |
L |
4.6982363443415 |
L(r)(E,1)/r! |
Ω |
0.25659184107274 |
Real period |
R |
4.577538713773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dn2 15600cy2 62400ih2 |
Quadratic twists by: -4 8 5 |