Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584c |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-7178237968384 = -1 · 216 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1060556,420386288] |
[a1,a2,a3,a4,a6] |
Generators |
[637:1813:1] |
Generators of the group modulo torsion |
j |
-349188777252/19 |
j-invariant |
L |
7.6206558355014 |
L(r)(E,1)/r! |
Ω |
0.55960500799349 |
Real period |
R |
2.2696532157418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bv1 7448l1 59584be1 |
Quadratic twists by: -4 8 -7 |