Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cm |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5226372998437500 = 22 · 37 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-372654,87584328] |
[a1,a2,a3,a4,a6] |
Generators |
[-698:3044:1] [1017:-28071:1] |
Generators of the group modulo torsion |
j |
66730743078481/60937500 |
j-invariant |
L |
7.642680531008 |
L(r)(E,1)/r! |
Ω |
0.42766944056289 |
Real period |
R |
0.27922706644606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cn3 1170d3 |
Quadratic twists by: -3 -7 |