Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536v |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17809705344248064 = -1 · 28 · 38 · 132 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,668,-6420980] |
[a1,a2,a3,a4,a6] |
Generators |
[1681090:68867577:1000] |
Generators of the group modulo torsion |
j |
128576864432/69569161500969 |
j-invariant |
L |
4.666734731642 |
L(r)(E,1)/r! |
Ω |
0.1784953199984 |
Real period |
R |
6.5362144113392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13884e2 |
Quadratic twists by: -4 |