Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640o |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
252204840000 = 26 · 38 · 54 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2433,39368] |
[a1,a2,a3,a4,a6] |
Generators |
[68:434:1] |
Generators of the group modulo torsion |
j |
34138350784/5405625 |
j-invariant |
L |
4.898299878763 |
L(r)(E,1)/r! |
Ω |
0.9424314316836 |
Real period |
R |
2.5987566384551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44640i1 89280fp2 14880k1 |
Quadratic twists by: -4 8 -3 |