Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
816b |
Isogeny class |
Conductor |
816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
228427776 = 211 · 38 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-752,8160] |
[a1,a2,a3,a4,a6] |
j |
22994537186/111537 |
j-invariant |
L |
1.775290563775 |
L(r)(E,1)/r! |
Ω |
1.775290563775 |
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 |
408b3 3264be3 2448d3 20400z3 |
Quadratic twists by: -4 8 -3 5 |