Atkin-Lehner |
2- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52256b |
Isogeny class |
Conductor |
52256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
217021124886032384 = 212 · 236 · 713 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1892636,1001936320] |
[a1,a2,a3,a4,a6] |
Generators |
[738:2668:1] |
Generators of the group modulo torsion |
j |
183048027743390997312/52983673067879 |
j-invariant |
L |
3.5952178786539 |
L(r)(E,1)/r! |
Ω |
0.30842029226787 |
Real period |
R |
1.9428130858941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52256a2 104512i1 |
Quadratic twists by: -4 8 |