Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376f |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103887608832 = 210 · 38 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11955,502882] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:94:1] [-13:810:1] |
Generators of the group modulo torsion |
j |
253130786500/139167 |
j-invariant |
L |
9.0666099654996 |
L(r)(E,1)/r! |
Ω |
1.0473963194924 |
Real period |
R |
2.1640829256239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688i2 15792g2 |
Quadratic twists by: -4 -3 |