Atkin-Lehner |
2+ 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824c |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
75727872 = 210 · 34 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-1664] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] |
Generators of the group modulo torsion |
j |
2379293284/73953 |
j-invariant |
L |
3.4603376110747 |
L(r)(E,1)/r! |
Ω |
1.1689803618476 |
Real period |
R |
1.4800666136062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912i1 |
Quadratic twists by: -4 |