Atkin-Lehner |
2+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100016b |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43904623616 = 210 · 7 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7139,-231950] |
[a1,a2,a3,a4,a6] |
j |
39294874074852/42875609 |
j-invariant |
L |
1.0388397257258 |
L(r)(E,1)/r! |
Ω |
0.51941999176269 |
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 |
50008f4 |
Quadratic twists by: -4 |