Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856f |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
14683622976 = 26 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3369,75040] |
[a1,a2,a3,a4,a6] |
j |
90639863488/314721 |
j-invariant |
L |
2.5074699619236 |
L(r)(E,1)/r! |
Ω |
1.2537349806168 |
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 |
53856m1 107712ep2 17952t1 |
Quadratic twists by: -4 8 -3 |