Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584cd |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-47834988544 = -1 · 220 · 74 · 19 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4769,-128801] |
[a1,a2,a3,a4,a6] |
Generators |
[40370:708443:125] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
5.234572050117 |
L(r)(E,1)/r! |
Ω |
0.28717822605131 |
Real period |
R |
9.1138038593503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584g1 14896x1 59584cp1 |
Quadratic twists by: -4 8 -7 |