Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
19296r |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-628316352 = -1 · 26 · 37 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,1456] |
[a1,a2,a3,a4,a6] |
j |
-10648000/13467 |
j-invariant |
L |
2.9335780341533 |
L(r)(E,1)/r! |
Ω |
1.4667890170766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19296l1 38592bp2 6432g1 |
Quadratic twists by: -4 8 -3 |