Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18525a |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-4063921875 = -1 · 34 · 56 · 132 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,3168] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:58:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
3.6679430482832 |
L(r)(E,1)/r! |
Ω |
1.1742632451764 |
Real period |
R |
0.78090306056805 |
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 |
55575g1 741e1 |
Quadratic twists by: -3 5 |