Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715n |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3412517936555030625 = 38 · 54 · 72 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10802993,13669129856] |
[a1,a2,a3,a4,a6] |
Generators |
[822:72691:1] |
Generators of the group modulo torsion |
j |
4065433152958801/99500625 |
j-invariant |
L |
2.6806793788577 |
L(r)(E,1)/r! |
Ω |
0.23227758275878 |
Real period |
R |
2.8852110119127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076374 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37905t2 5985h2 |
Quadratic twists by: -3 -19 |