Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005f |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-49427578725625 = -1 · 54 · 196 · 412 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5784,377771] |
[a1,a2,a3,a4,a6] |
j |
-454756609/1050625 |
j-invariant |
L |
1.1249124698511 |
L(r)(E,1)/r! |
Ω |
0.5624562500058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205b2 |
Quadratic twists by: -19 |