Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856u |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-161371533312 = -1 · 212 · 36 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3864,-94448] |
[a1,a2,a3,a4,a6] |
Generators |
[464:9900:1] |
Generators of the group modulo torsion |
j |
-2136719872/54043 |
j-invariant |
L |
4.929361904978 |
L(r)(E,1)/r! |
Ω |
0.30231627003267 |
Real period |
R |
4.076328661082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53856z1 107712er1 5984c1 |
Quadratic twists by: -4 8 -3 |