Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584cb |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6087796427776 = -1 · 210 · 74 · 195 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -1 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14765,-705629] |
[a1,a2,a3,a4,a6] |
Generators |
[339:5776:1] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
3.8699908942523 |
L(r)(E,1)/r! |
Ω |
0.21633056996495 |
Real period |
R |
1.7889246512912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584e1 14896d1 59584cm1 |
Quadratic twists by: -4 8 -7 |