Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968m |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3795134289802E+28 |
Discriminant |
Eigenvalues |
2- -2 -4 -4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5071381800,-138894070961996] |
[a1,a2,a3,a4,a6] |
j |
729596217166155478587889/697759680872204288 |
j-invariant |
L |
0.14313073469599 |
L(r)(E,1)/r! |
Ω |
0.017891341833565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746d2 3536h2 |
Quadratic twists by: -4 13 |