Atkin-Lehner |
3+ 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987d |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.1207835696273E+19 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,536853,-55102996] |
[a1,a2,a3,a4,a6] |
j |
869356924445980125/569417044976521 |
j-invariant |
L |
3.1089641244206 |
L(r)(E,1)/r! |
Ω |
0.12954016863285 |
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 |
84987b2 |
Quadratic twists by: -3 |