Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860h |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5968053561600 = -1 · 28 · 38 · 52 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5223,186878] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-234:1] |
Generators of the group modulo torsion |
j |
-84433792336/31979025 |
j-invariant |
L |
7.9563685057766 |
L(r)(E,1)/r! |
Ω |
0.71145186060766 |
Real period |
R |
0.93194036786759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620d2 |
Quadratic twists by: -3 |