Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45288c |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.3484660112935E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5162691,-6115226146] |
[a1,a2,a3,a4,a6] |
j |
-10192826413808348546/4921972797773529 |
j-invariant |
L |
1.7622080005031 |
L(r)(E,1)/r! |
Ω |
0.048950222235762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90576d3 15096f4 |
Quadratic twists by: -4 -3 |