Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cr |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-35158608576 = -1 · 26 · 36 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,-8206] |
[a1,a2,a3,a4,a6] |
Generators |
[31:189:1] |
Generators of the group modulo torsion |
j |
224755712/753571 |
j-invariant |
L |
5.151234893056 |
L(r)(E,1)/r! |
Ω |
0.5921262032499 |
Real period |
R |
1.4499259518152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416ex2 819e2 5824j2 |
Quadratic twists by: -4 8 -3 |