Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696p |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.2350095157349E+22 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19578593,-32906202271] |
[a1,a2,a3,a4,a6] |
Generators |
[5491:158484:1] [-1084486175:402653184:389017] |
Generators of the group modulo torsion |
j |
3166126388361017133625/47111874226946048 |
j-invariant |
L |
14.382005915885 |
L(r)(E,1)/r! |
Ω |
0.071836576213466 |
Real period |
R |
50.051125325748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bp3 2678h3 |
Quadratic twists by: -4 8 |