Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dy |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
28315533312 = 214 · 33 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304689,-64835793] |
[a1,a2,a3,a4,a6] |
Generators |
[642:2139:1] |
Generators of the group modulo torsion |
j |
190930594365830608/1728243 |
j-invariant |
L |
5.5692622169605 |
L(r)(E,1)/r! |
Ω |
0.20320539884186 |
Real period |
R |
4.5678430532979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576f2 12144u2 |
Quadratic twists by: -4 8 |