Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584by |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,11789] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:784:27] |
Generators of the group modulo torsion |
j |
14336/19 |
j-invariant |
L |
10.658204331436 |
L(r)(E,1)/r! |
Ω |
0.7097966004268 |
Real period |
R |
2.5026428521595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584h1 14896g1 59584cs1 |
Quadratic twists by: -4 8 -7 |