Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486l |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5256187627077828504 = 23 · 37 · 72 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20402163,35475031165] |
[a1,a2,a3,a4,a6] |
Generators |
[2627:311:1] |
Generators of the group modulo torsion |
j |
27384399945278713/153257496 |
j-invariant |
L |
2.5961819171443 |
L(r)(E,1)/r! |
Ω |
0.21482255628103 |
Real period |
R |
1.5106548644724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162r3 2394k3 |
Quadratic twists by: -3 -19 |