Atkin-Lehner |
2+ 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824b |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
3408323601408 = 210 · 3 · 115 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161272,-24874112] |
[a1,a2,a3,a4,a6] |
Generators |
[45795540:1369529972:42875] |
Generators of the group modulo torsion |
j |
453005384303598052/3328441017 |
j-invariant |
L |
6.308913886968 |
L(r)(E,1)/r! |
Ω |
0.23823731113104 |
Real period |
R |
13.240818276982 |
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 |
21912h1 |
Quadratic twists by: -4 |