Atkin-Lehner |
3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525bl |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-313186658203125 = -1 · 36 · 59 · 72 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4992,-860959] |
[a1,a2,a3,a4,a6] |
j |
-9663597/219961 |
j-invariant |
L |
1.8818680219857 |
L(r)(E,1)/r! |
Ω |
0.23523344843988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11725e2 105525bp2 |
Quadratic twists by: -3 5 |