Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600cg |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-12225935904000000 = -1 · 211 · 3 · 56 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257808,-50750112] |
[a1,a2,a3,a4,a6] |
j |
-59219479733906/382060497 |
j-invariant |
L |
0.52947796769319 |
L(r)(E,1)/r! |
Ω |
0.10589559377549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200w1 2184c1 |
Quadratic twists by: -4 5 |