Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824ba |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
245017165565952 = 212 · 36 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 2 6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105507,13169250] |
[a1,a2,a3,a4,a6] |
Generators |
[201:288:1] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
4.6696838325993 |
L(r)(E,1)/r! |
Ω |
0.55570684180058 |
Real period |
R |
2.1007856487194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1989b1 127296df1 3536i1 |
Quadratic twists by: -4 8 -3 |