Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240u |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
160278273803151360 = 211 · 320 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441507,-111260734] |
[a1,a2,a3,a4,a6] |
Generators |
[-143885:123012:343] |
Generators of the group modulo torsion |
j |
6374982726455618/107353739205 |
j-invariant |
L |
7.6851502412931 |
L(r)(E,1)/r! |
Ω |
0.18539956779549 |
Real period |
R |
5.1814779914694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120l2 16080a2 |
Quadratic twists by: -4 -3 |