Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134y |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1409006946271488256 = 28 · 78 · 112 · 534 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8074989,8833873493] |
[a1,a2,a3,a4,a6] |
Generators |
[-509:113444:1] |
Generators of the group modulo torsion |
j |
494949898813825959057/11976361433344 |
j-invariant |
L |
10.926839853566 |
L(r)(E,1)/r! |
Ω |
0.24997149731156 |
Real period |
R |
2.732021443202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8162g2 |
Quadratic twists by: -7 |