Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368ba |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-70300024700928 = -1 · 236 · 3 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21504,-1286220] |
[a1,a2,a3,a4,a6] |
Generators |
[3582030610325440:83082154230378225:6197058732032] |
Generators of the group modulo torsion |
j |
-268498407453697/17163091968 |
j-invariant |
L |
5.132812052804 |
L(r)(E,1)/r! |
Ω |
0.19639750409938 |
Real period |
R |
26.134813048371 |
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 |
2046g1 65472bj1 49104bh1 |
Quadratic twists by: -4 8 -3 |