Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550w |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
503792640000000 = 216 · 32 · 57 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-258376,50517398] |
[a1,a2,a3,a4,a6] |
Generators |
[522:7351:1] |
Generators of the group modulo torsion |
j |
122083727651299441/32242728960 |
j-invariant |
L |
5.46517189544 |
L(r)(E,1)/r! |
Ω |
0.51048451310373 |
Real period |
R |
2.6764631223722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310j1 |
Quadratic twists by: 5 |