Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bh |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38660141481984 = 226 · 32 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86369,-9794049] |
[a1,a2,a3,a4,a6] |
Generators |
[-8393512035:-3337771008:49430863] |
Generators of the group modulo torsion |
j |
271808161065433/147476736 |
j-invariant |
L |
6.2149572312209 |
L(r)(E,1)/r! |
Ω |
0.2784991063669 |
Real period |
R |
11.157948246714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576cq2 1518f2 |
Quadratic twists by: -4 8 |