Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536l |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12864 |
Modular degree for the optimal curve |
Δ |
57536 = 26 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 0 2 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1199,15980] |
[a1,a2,a3,a4,a6] |
Generators |
[406955640:774710:20346417] |
Generators of the group modulo torsion |
j |
2978525259072/899 |
j-invariant |
L |
7.9492178560654 |
L(r)(E,1)/r! |
Ω |
2.8306003256708 |
Real period |
R |
11.233260709865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57536i1 28768a4 |
Quadratic twists by: -4 8 |