Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416b |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
96832 = 26 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 0 0 0 -2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-505,4368] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] [-663:1196:27] |
Generators of the group modulo torsion |
j |
222545016000/1513 |
j-invariant |
L |
9.4022520481024 |
L(r)(E,1)/r! |
Ω |
3.0144350560254 |
Real period |
R |
6.2381520074947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416a1 96832p1 |
Quadratic twists by: -4 8 |