Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bk |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
907887887667684 = 22 · 32 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-130562,-18111040] |
[a1,a2,a3,a4,a6] |
j |
1180932193/4356 |
j-invariant |
L |
1.0048519688263 |
L(r)(E,1)/r! |
Ω |
0.25121299220433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106722hb2 726c2 3234t2 |
Quadratic twists by: -3 -7 -11 |