Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600bq |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-15523326000 = -1 · 24 · 38 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1743,29232] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-65:1] |
Generators of the group modulo torsion |
j |
-292978006016/7761663 |
j-invariant |
L |
4.0794410839297 |
L(r)(E,1)/r! |
Ω |
1.2395924917536 |
Real period |
R |
0.82273834164275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cj1 54600bj1 |
Quadratic twists by: -4 5 |