Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800d |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8178693408000000 = -1 · 211 · 32 · 56 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34808,-5006388] |
[a1,a2,a3,a4,a6] |
Generators |
[1681:68438:1] |
Generators of the group modulo torsion |
j |
-145754986466/255584169 |
j-invariant |
L |
2.4745329783852 |
L(r)(E,1)/r! |
Ω |
0.16500600147769 |
Real period |
R |
7.4983120499006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600p3 1752k4 |
Quadratic twists by: -4 5 |