Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cr |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-59584 = -1 · 26 · 72 · 19 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 0 -6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-331,2211] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1:1] |
Generators of the group modulo torsion |
j |
-1282753024/19 |
j-invariant |
L |
2.1197729625778 |
L(r)(E,1)/r! |
Ω |
3.2106788575781 |
Real period |
R |
0.66022578294604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cy1 29792n1 59584bx1 |
Quadratic twists by: -4 8 -7 |