Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2288c |
Isogeny class |
Conductor |
2288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-475904 = -1 · 28 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 11+ 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,-1363] |
[a1,a2,a3,a4,a6] |
j |
-6072054784/1859 |
j-invariant |
L |
1.2112596515807 |
L(r)(E,1)/r! |
Ω |
0.60562982579033 |
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 |
1144b1 9152y1 20592l1 57200b1 |
Quadratic twists by: -4 8 -3 5 |