Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856m |
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] |
Generators |
[20260:353925:64] |
Generators of the group modulo torsion |
j |
90639863488/314721 |
j-invariant |
L |
7.9389430591065 |
L(r)(E,1)/r! |
Ω |
0.62677978235611 |
Real period |
R |
6.3331199271265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53856f1 107712dn2 17952k1 |
Quadratic twists by: -4 8 -3 |