Atkin-Lehner |
3+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11193a |
Isogeny class |
Conductor |
11193 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.4448715128668E+21 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6115157,5087035694] |
[a1,a2,a3,a4,a6] |
j |
25289867340106778836243153/3444871512866802919173 |
j-invariant |
L |
1.3551850899457 |
L(r)(E,1)/r! |
Ω |
0.13551850899457 |
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 |
33579f3 78351r3 |
Quadratic twists by: -3 -7 |