Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344m |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16518176833536 = 220 · 38 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6657,-71775] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:280:1] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
2.5458126674814 |
L(r)(E,1)/r! |
Ω |
0.55754901988409 |
Real period |
R |
2.2830393173417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1344g3 336d4 4032bl3 33600gi3 |
Quadratic twists by: -4 8 -3 5 |