Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600ck |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
121406709060000000 = 28 · 34 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123908,854688] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:2058:1] |
Generators of the group modulo torsion |
j |
52597519950544/30351677265 |
j-invariant |
L |
7.8584264686376 |
L(r)(E,1)/r! |
Ω |
0.28153498254871 |
Real period |
R |
0.8722746456618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200g1 10920a1 |
Quadratic twists by: -4 5 |