Atkin-Lehner |
2+ 3- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302g |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3597916608 = -1 · 26 · 32 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,208,-2626] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] |
Generators of the group modulo torsion |
j |
1002101470343/3597916608 |
j-invariant |
L |
3.7462751398385 |
L(r)(E,1)/r! |
Ω |
0.71419045586675 |
Real period |
R |
2.6227423714953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906bs1 |
Quadratic twists by: -3 |