Atkin-Lehner |
2+ 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440i |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1191680 |
Modular degree for the optimal curve |
Δ |
-167212170720000000 = -1 · 211 · 33 · 57 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129453,8104014] |
[a1,a2,a3,a4,a6] |
j |
4338767255685354/3023946953125 |
j-invariant |
L |
2.8542262617774 |
L(r)(E,1)/r! |
Ω |
0.20387324529088 |
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 |
118440bq1 |
Quadratic twists by: -3 |