Atkin-Lehner |
2- 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942q |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4118281597584 = -1 · 24 · 32 · 78 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1848,92880] |
[a1,a2,a3,a4,a6] |
Generators |
[42:474:1] |
Generators of the group modulo torsion |
j |
697934914604927/4118281597584 |
j-invariant |
L |
10.133508837569 |
L(r)(E,1)/r! |
Ω |
0.56444020980351 |
Real period |
R |
2.2441501911019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826j2 |
Quadratic twists by: -3 |