Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712y |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-101314075886666496 = -1 · 28 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2460477,-1486414521] |
[a1,a2,a3,a4,a6] |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
2.1697795671117 |
L(r)(E,1)/r! |
Ω |
0.060271654641993 |
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 |
1428b1 22848ce1 17136br1 39984cm1 |
Quadratic twists by: -4 8 -3 -7 |