Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bc |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-12580084992384 = -1 · 27 · 35 · 72 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2886,160108] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:-324:1] |
Generators of the group modulo torsion |
j |
54279134491799/256736428416 |
j-invariant |
L |
4.5327012458883 |
L(r)(E,1)/r! |
Ω |
0.51033868832898 |
Real period |
R |
0.22204377942408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974a1 |
Quadratic twists by: -7 |