Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749c |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
8.4458734945166E+29 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4567848698,110295421681165] |
[a1,a2,a3,a4,a6] |
Generators |
[-11539011229173036:-5563213217632334173:373870425664] |
Generators of the group modulo torsion |
j |
5949804994636112495205434577/476747540418683742682859 |
j-invariant |
L |
5.3712700188435 |
L(r)(E,1)/r! |
Ω |
0.027522401996061 |
Real period |
R |
19.51599289722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5159d3 |
Quadratic twists by: -11 |