Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392f |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-268075008 = -1 · 215 · 34 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 4 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,-927] |
[a1,a2,a3,a4,a6] |
Generators |
[21:72:1] |
Generators of the group modulo torsion |
j |
-7301384/8181 |
j-invariant |
L |
3.6773827342096 |
L(r)(E,1)/r! |
Ω |
0.67818265366136 |
Real period |
R |
0.67780094240766 |
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 |
19392n1 9696c1 58176be1 |
Quadratic twists by: -4 8 -3 |