Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408k |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
59019540298727424 = 220 · 3 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132289,14409409] |
[a1,a2,a3,a4,a6] |
Generators |
[648:14155:1] |
Generators of the group modulo torsion |
j |
976693446651313/225141678996 |
j-invariant |
L |
2.1781281312188 |
L(r)(E,1)/r! |
Ω |
0.33094621547481 |
Real period |
R |
6.5815169637574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dk3 1794j4 |
Quadratic twists by: -4 8 |