Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368u |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1522224 = -1 · 24 · 32 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,50] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:405:64] |
Generators of the group modulo torsion |
j |
80494592/95139 |
j-invariant |
L |
7.1710236156025 |
L(r)(E,1)/r! |
Ω |
1.7911118791108 |
Real period |
R |
4.0036715178074 |
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 |
4092d1 65472bv1 49104bp1 |
Quadratic twists by: -4 8 -3 |