Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dm |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
649076736000 = 216 · 3 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352065,-80522337] |
[a1,a2,a3,a4,a6] |
j |
73639964854838596/9904125 |
j-invariant |
L |
4.7038664769141 |
L(r)(E,1)/r! |
Ω |
0.19599443587595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fn4 9240c3 |
Quadratic twists by: -4 8 |