Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320p |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1900326287641600 = 210 · 52 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331747,73516014] |
[a1,a2,a3,a4,a6] |
j |
371838708/175 |
j-invariant |
L |
0.92253958078774 |
L(r)(E,1)/r! |
Ω |
0.46126979034145 |
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 |
94640ba2 47320t2 |
Quadratic twists by: -4 13 |