Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ex |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
89774914575532032 = 218 · 37 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568155,164203018] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
1.3647522559086 |
L(r)(E,1)/r! |
Ω |
0.34118807444432 |
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 |
9702ca3 25872cw3 1584l3 |
Quadratic twists by: -4 -3 -7 |