Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104cb |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-29290389143552 = -1 · 215 · 197 |
Discriminant |
Eigenvalues |
2- 3 0 -1 -2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7220,-109744] |
[a1,a2,a3,a4,a6] |
Generators |
[399:361:27] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
8.9795782521802 |
L(r)(E,1)/r! |
Ω |
0.3738455333994 |
Real period |
R |
3.0024359828939 |
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 |
23104cc1 11552m1 1216r1 |
Quadratic twists by: -4 8 -19 |