Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bq |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2013901574400000000 = 214 · 310 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1234947,523795714] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:32400:1] |
Generators of the group modulo torsion |
j |
69755939801192449/674451562500 |
j-invariant |
L |
3.9813537903768 |
L(r)(E,1)/r! |
Ω |
0.26317425130305 |
Real period |
R |
0.94551275691815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999653 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6570n2 17520u2 |
Quadratic twists by: -4 -3 |