Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124h |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1163208816 = -1 · 24 · 33 · 7 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-537,-5063] |
[a1,a2,a3,a4,a6] |
Generators |
[71:561:1] |
Generators of the group modulo torsion |
j |
-39642663168/2692613 |
j-invariant |
L |
7.2984539335345 |
L(r)(E,1)/r! |
Ω |
0.49394389459543 |
Real period |
R |
0.41044101102513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47124c1 |
Quadratic twists by: -3 |