Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cc |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4984066394485161984 = 222 · 34 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450744,44904276] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:12558:1] |
Generators of the group modulo torsion |
j |
2472604133104833337/1216813084591104 |
j-invariant |
L |
5.2664149284211 |
L(r)(E,1)/r! |
Ω |
0.2156059047243 |
Real period |
R |
3.0532645517886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006i2 |
Quadratic twists by: -4 |