Atkin-Lehner |
3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16995c |
Isogeny class |
Conductor |
16995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
288830025 = 32 · 52 · 112 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-166,-166] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:22:1] |
Generators of the group modulo torsion |
j |
506071034209/288830025 |
j-invariant |
L |
2.3702793300193 |
L(r)(E,1)/r! |
Ω |
1.4396124989047 |
Real period |
R |
1.6464703743699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50985i2 84975k2 |
Quadratic twists by: -3 5 |