Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16112g |
Isogeny class |
Conductor |
16112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-78917349376 = -1 · 212 · 193 · 532 |
Discriminant |
Eigenvalues |
2- 0 -3 1 -3 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,976,6704] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1007:1] |
Generators of the group modulo torsion |
j |
25102282752/19266931 |
j-invariant |
L |
3.3412807760836 |
L(r)(E,1)/r! |
Ω |
0.69557418766246 |
Real period |
R |
0.80060493794158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1007a1 64448j1 |
Quadratic twists by: -4 8 |