Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154i |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-6621645311954 = -1 · 2 · 17 · 417 |
Discriminant |
Eigenvalues |
2+ 3 3 0 3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3047,-106297] |
[a1,a2,a3,a4,a6] |
j |
658503/1394 |
j-invariant |
L |
6.2417798351855 |
L(r)(E,1)/r! |
Ω |
0.39011123964952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394d1 |
Quadratic twists by: 41 |