Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800v |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1296243648000000 = 212 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37633,-2225137] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:756:1] |
Generators of the group modulo torsion |
j |
92100460096/20253807 |
j-invariant |
L |
6.6320345900202 |
L(r)(E,1)/r! |
Ω |
0.3481438876435 |
Real period |
R |
0.31749490298924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800be2 33600t1 50400dq2 672d2 |
Quadratic twists by: -4 8 -3 5 |