Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16317b |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4348659987 = 33 · 76 · 372 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,6052] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:86:1] [-17:119:1] |
Generators of the group modulo torsion |
j |
10503459/1369 |
j-invariant |
L |
4.177333726308 |
L(r)(E,1)/r! |
Ω |
1.3311262221207 |
Real period |
R |
1.569097526925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16317a2 333c2 |
Quadratic twists by: -3 -7 |