Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698g |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-147476736 = -1 · 28 · 32 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11- -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24,576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:24:1] [9:30:1] |
Generators of the group modulo torsion |
j |
-13475473/1218816 |
j-invariant |
L |
3.9930133755822 |
L(r)(E,1)/r! |
Ω |
1.5070454055556 |
Real period |
R |
0.33119551017361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094ck1 16698bd1 |
Quadratic twists by: -3 -11 |