Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744by |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7875193897468772352 = -1 · 214 · 322 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171795,137770706] |
[a1,a2,a3,a4,a6] |
Generators |
[-183295:3009238:343] |
Generators of the group modulo torsion |
j |
-187787982084625/2637386502228 |
j-invariant |
L |
7.9813932733434 |
L(r)(E,1)/r! |
Ω |
0.19800338015817 |
Real period |
R |
10.077344797555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999268333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218j2 43248l2 |
Quadratic twists by: -4 -3 |