Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392r |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
337336027392 = 28 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15604,754948] |
[a1,a2,a3,a4,a6] |
j |
340062928/273 |
j-invariant |
L |
0.95417598025375 |
L(r)(E,1)/r! |
Ω |
0.95417598025485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784x1 85176p1 2184b1 |
Quadratic twists by: -4 -3 13 |