Atkin-Lehner |
3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319l |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.931312787863E+20 |
Discriminant |
Eigenvalues |
-1 3- -2 2 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3710246,-2910547384] |
[a1,a2,a3,a4,a6] |
Generators |
[15801768:181833637:6859] |
Generators of the group modulo torsion |
j |
-3286018652363/228705129 |
j-invariant |
L |
3.9802720952922 |
L(r)(E,1)/r! |
Ω |
0.054172675364438 |
Real period |
R |
9.1842244935339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25773j2 77319k2 |
Quadratic twists by: -3 -11 |