Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658d |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7370651529978912 = -1 · 25 · 32 · 712 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-302715,64113021] |
[a1,a2,a3,a4,a6] |
j |
-1659169925538042625/3986290713888 |
j-invariant |
L |
1.6765558030943 |
L(r)(E,1)/r! |
Ω |
0.41913893487303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658bk2 |
Quadratic twists by: -43 |