Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ej |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3277416038400 = -1 · 219 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3519,32481] |
[a1,a2,a3,a4,a6] |
Generators |
[5:224:1] |
Generators of the group modulo torsion |
j |
53582633/36450 |
j-invariant |
L |
3.9103603151862 |
L(r)(E,1)/r! |
Ω |
0.50116524906782 |
Real period |
R |
0.97531710410205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cj2 11760cq2 47040gv2 |
Quadratic twists by: -4 8 -7 |