Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880f |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5690669765760000 = -1 · 210 · 33 · 54 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171027,27464446] |
[a1,a2,a3,a4,a6] |
j |
-20010319579986732/205825729375 |
j-invariant |
L |
3.4330914049513 |
L(r)(E,1)/r! |
Ω |
0.42913642565006 |
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 |
95760r2 47880r2 |
Quadratic twists by: -4 -3 |