Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328h |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1605658492928 = -1 · 214 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 1 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,100372] |
[a1,a2,a3,a4,a6] |
j |
-208537/68 |
j-invariant |
L |
1.5949048096544 |
L(r)(E,1)/r! |
Ω |
0.79745240482721 |
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 |
1666a1 53312bj1 119952ea1 13328t1 |
Quadratic twists by: -4 8 -3 -7 |