Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319k |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-221912357963571 = -1 · 38 · 113 · 714 |
Discriminant |
Eigenvalues |
1 3- -2 -2 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30663,2195100] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1566:1] |
Generators of the group modulo torsion |
j |
-3286018652363/228705129 |
j-invariant |
L |
3.5754716996726 |
L(r)(E,1)/r! |
Ω |
0.55031249587423 |
Real period |
R |
0.8121457641245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25773k2 77319l2 |
Quadratic twists by: -3 -11 |