Atkin-Lehner |
3- 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19995h |
Isogeny class |
Conductor |
19995 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-112471875 = -1 · 33 · 55 · 31 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -5 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-335,2306] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
-4170171252736/112471875 |
j-invariant |
L |
5.3681854141061 |
L(r)(E,1)/r! |
Ω |
1.868617473471 |
Real period |
R |
0.19152075408045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59985e1 99975a1 |
Quadratic twists by: -3 5 |