Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562c |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
340704 |
Modular degree for the optimal curve |
Δ |
-244531314359879092 = -1 · 22 · 78 · 139 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ -1 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-298288,66942660] |
[a1,a2,a3,a4,a6] |
j |
-48013/4 |
j-invariant |
L |
3.6702421092818 |
L(r)(E,1)/r! |
Ω |
0.30585350910682 |
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 |
16562w1 16562bc1 |
Quadratic twists by: -7 13 |