Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bn |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7307276643643392 = 212 · 37 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50700,-1546688] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1521:1] |
Generators of the group modulo torsion |
j |
1000000/507 |
j-invariant |
L |
4.8880353999235 |
L(r)(E,1)/r! |
Ω |
0.335690552166 |
Real period |
R |
1.8201418569726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672bm2 97344ep1 16224i2 3744e2 |
Quadratic twists by: -4 8 -3 13 |