Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bk |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
159403140000000 = 28 · 36 · 57 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20813,974531] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-1652:1] |
Generators of the group modulo torsion |
j |
63812982460681/10201800960 |
j-invariant |
L |
7.7117676577573 |
L(r)(E,1)/r! |
Ω |
0.55042211812027 |
Real period |
R |
0.87566517175634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310f1 |
Quadratic twists by: 5 |