Atkin-Lehner |
2+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7154f |
Isogeny class |
Conductor |
7154 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-164965545416 = -1 · 23 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6052,179768] |
[a1,a2,a3,a4,a6] |
j |
-86806489/584 |
j-invariant |
L |
1.0259558421554 |
L(r)(E,1)/r! |
Ω |
1.0259558421554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57232j1 64386bt1 7154b1 |
Quadratic twists by: -4 -3 -7 |