Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bf |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6230016000000 = 218 · 32 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7233,-201663] |
[a1,a2,a3,a4,a6] |
j |
10218313/1521 |
j-invariant |
L |
2.0913732081421 |
L(r)(E,1)/r! |
Ω |
0.52284330442341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400ho2 975g2 2496k2 |
Quadratic twists by: -4 8 5 |