Atkin-Lehner |
3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2193a |
Isogeny class |
Conductor |
2193 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
-27177849 = -1 · 37 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3+ 3 -1 5 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,59,-158] |
[a1,a2,a3,a4,a6] |
j |
22117051943/27177849 |
j-invariant |
L |
2.2603462390135 |
L(r)(E,1)/r! |
Ω |
1.1301731195068 |
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 |
35088s1 6579e1 54825h1 107457p1 |
Quadratic twists by: -4 -3 5 -7 |