Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712i |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22852295424 = -1 · 28 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95121,-11323557] |
[a1,a2,a3,a4,a6] |
j |
-371806976516936704/89266779 |
j-invariant |
L |
1.9029531932768 |
L(r)(E,1)/r! |
Ω |
0.1359252280912 |
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 |
2856e1 22848bq1 17136f1 39984h1 |
Quadratic twists by: -4 8 -3 -7 |