Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040q |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
286827816853831680 = 217 · 312 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340321,-71826719] |
[a1,a2,a3,a4,a6] |
j |
282678688658/18600435 |
j-invariant |
L |
1.5878450115459 |
L(r)(E,1)/r! |
Ω |
0.19848062647411 |
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 |
47040gf4 5880p3 6720bb3 |
Quadratic twists by: -4 8 -7 |