Atkin-Lehner |
3+ 5- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805f |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
155220975 = 33 · 52 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 6 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5192,-142684] |
[a1,a2,a3,a4,a6] |
j |
573172807061763/5748925 |
j-invariant |
L |
2.2497417266046 |
L(r)(E,1)/r! |
Ω |
0.56243544220195 |
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 |
77805a2 |
Quadratic twists by: -3 |