Atkin-Lehner |
2+ 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824b |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39680524650387456 = 211 · 32 · 1110 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164592,-23793120] |
[a1,a2,a3,a4,a6] |
Generators |
[4140:265020:1] |
Generators of the group modulo torsion |
j |
240781195206576866/19375256176947 |
j-invariant |
L |
6.308913886968 |
L(r)(E,1)/r! |
Ω |
0.23823731113104 |
Real period |
R |
6.6204091384908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912h2 |
Quadratic twists by: -4 |