Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13736d |
Isogeny class |
Conductor |
13736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
51320333312 = 210 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1368,16604] |
[a1,a2,a3,a4,a6] |
j |
276693830500/50117513 |
j-invariant |
L |
1.0704205663261 |
L(r)(E,1)/r! |
Ω |
1.0704205663261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27472b1 109888e1 123624h1 |
Quadratic twists by: -4 8 -3 |