Atkin-Lehner |
2+ 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966k |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72425047917698784 = 25 · 310 · 73 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5163637428,-142816306816400] |
[a1,a2,a3,a4,a6] |
Generators |
[12864827024399036465193954:-5783386691014920714546508787:56636464564297623608] |
Generators of the group modulo torsion |
j |
20886391009440079457541083618113/99348488227296 |
j-invariant |
L |
2.8060683909487 |
L(r)(E,1)/r! |
Ω |
0.017809864678591 |
Real period |
R |
39.389243567982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322g3 |
Quadratic twists by: -3 |