Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cm |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
76994150400000000 = 221 · 33 · 58 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256648001,1582455351999] |
[a1,a2,a3,a4,a6] |
Generators |
[9007:40128:1] |
Generators of the group modulo torsion |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
7.4910275439561 |
L(r)(E,1)/r! |
Ω |
0.18502412205214 |
Real period |
R |
3.3738968108909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640c6 14160r5 |
Quadratic twists by: -4 8 |