Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520s |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
105178500000000000 = 211 · 34 · 512 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157680,-18314100] |
[a1,a2,a3,a4,a6] |
Generators |
[585:9450:1] |
Generators of the group modulo torsion |
j |
211702676104815842/51356689453125 |
j-invariant |
L |
5.6551681016622 |
L(r)(E,1)/r! |
Ω |
0.24381474172448 |
Real period |
R |
1.9328774180706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040r3 |
Quadratic twists by: -4 |