Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cm |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
325791541297152 = 216 · 38 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24193,1167265] |
[a1,a2,a3,a4,a6] |
Generators |
[8:987:1] |
Generators of the group modulo torsion |
j |
23896313594500/4971184407 |
j-invariant |
L |
5.6315466126938 |
L(r)(E,1)/r! |
Ω |
0.51291734802082 |
Real period |
R |
1.8299071102456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bc2 15792k2 |
Quadratic twists by: -4 8 |