Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556f |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
268128 |
Modular degree for the optimal curve |
Δ |
-71102564577563904 = -1 · 28 · 37 · 73 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356004,82877256] |
[a1,a2,a3,a4,a6] |
j |
-19491694670039651152/277744392881109 |
j-invariant |
L |
3.1243271419693 |
L(r)(E,1)/r! |
Ω |
0.34714746021881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224cm1 52668bb1 122892x1 |
Quadratic twists by: -4 -3 -7 |