Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bm |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-9269964 = -1 · 22 · 36 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,-561] |
[a1,a2,a3,a4,a6] |
Generators |
[19626:174821:216] |
Generators of the group modulo torsion |
j |
-1171657/44 |
j-invariant |
L |
11.49786305757 |
L(r)(E,1)/r! |
Ω |
0.70445774799415 |
Real period |
R |
8.1607896925503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358e1 57222bw1 |
Quadratic twists by: -3 17 |