Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928x |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-921152245465088 = -1 · 221 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18872,1059824] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1690:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
3.8359484500455 |
L(r)(E,1)/r! |
Ω |
0.33330363894738 |
Real period |
R |
1.4386088245841 |
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 |
2366a1 75712cn1 1456g1 |
Quadratic twists by: -4 8 13 |