Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dz |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.2508079159707E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3189525569,-69333624692289] |
[a1,a2,a3,a4,a6] |
Generators |
[-46093287726955197:-19999025128180:1413601146567] |
Generators of the group modulo torsion |
j |
13688695234222145601259673233/2003024259937536 |
j-invariant |
L |
5.1485808320529 |
L(r)(E,1)/r! |
Ω |
0.02008944933708 |
Real period |
R |
21.356902096773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576g4 12144v3 |
Quadratic twists by: -4 8 |