Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319t |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
45760828633023141 = 38 · 117 · 713 |
Discriminant |
Eigenvalues |
0 3- 3 1 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7663656,-8165857032] |
[a1,a2,a3,a4,a6] |
j |
38543227604697088/35433189 |
j-invariant |
L |
2.1777189297152 |
L(r)(E,1)/r! |
Ω |
0.090738287392604 |
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 |
25773r2 7029d2 |
Quadratic twists by: -3 -11 |