Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672g |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
389144910016512 = 212 · 39 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18252,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:676:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.368828623625 |
L(r)(E,1)/r! |
Ω |
0.45117455731382 |
Real period |
R |
1.2104041974426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672g2 97344dz1 48672bh2 288e2 |
Quadratic twists by: -4 8 -3 13 |