Atkin-Lehner |
2+ 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016a |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2105936896 = -1 · 210 · 72 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,296,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[10:56:1] |
Generators of the group modulo torsion |
j |
2791456412/2056579 |
j-invariant |
L |
3.7013242381225 |
L(r)(E,1)/r! |
Ω |
0.82281906894794 |
Real period |
R |
1.1245863082499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50008i2 |
Quadratic twists by: -4 |