Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87464d |
Isogeny class |
Conductor |
87464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
46643665539536 = 24 · 132 · 297 |
Discriminant |
Eigenvalues |
2- 0 2 4 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11774,-365835] |
[a1,a2,a3,a4,a6] |
Generators |
[-134490:675577:3375] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
8.9592060421054 |
L(r)(E,1)/r! |
Ω |
0.46708065153137 |
Real period |
R |
9.5906413690204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3016a1 |
Quadratic twists by: 29 |