Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350cj |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-578627712000 = -1 · 210 · 38 · 53 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1507,28977] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-281:1] |
Generators of the group modulo torsion |
j |
3027857585563/4629021696 |
j-invariant |
L |
14.13966311236 |
L(r)(E,1)/r! |
Ω |
0.6249999893476 |
Real period |
R |
0.141396633407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350k1 |
Quadratic twists by: 5 |