Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368l |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
2630403072 = 210 · 35 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,-8764] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] |
Generators of the group modulo torsion |
j |
57042062500/2568753 |
j-invariant |
L |
6.8792310905468 |
L(r)(E,1)/r! |
Ω |
0.89786354308712 |
Real period |
R |
0.7661777943332 |
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 |
8184j1 65472bh1 49104h1 |
Quadratic twists by: -4 8 -3 |