Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408w |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
191053824 = 214 · 3 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1489,22609] |
[a1,a2,a3,a4,a6] |
Generators |
[24:11:1] |
Generators of the group modulo torsion |
j |
22298697808/11661 |
j-invariant |
L |
3.968629694586 |
L(r)(E,1)/r! |
Ω |
1.7691136292866 |
Real period |
R |
2.243287049952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408do2 7176d2 |
Quadratic twists by: -4 8 |