Atkin-Lehner |
3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449w |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1067040 |
Modular degree for the optimal curve |
Δ |
-233072849204722107 = -1 · 319 · 74 · 174 |
Discriminant |
Eigenvalues |
0 3- 2 7+ -4 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,84966,-21181316] |
[a1,a2,a3,a4,a6] |
Generators |
[784:22963:1] |
Generators of the group modulo torsion |
j |
464027648/1594323 |
j-invariant |
L |
5.3081476641945 |
L(r)(E,1)/r! |
Ω |
0.15979495451371 |
Real period |
R |
0.92273593180436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483d1 127449bt1 127449q1 |
Quadratic twists by: -3 -7 17 |