Atkin-Lehner |
2+ 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56232d |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5821024176 = -1 · 24 · 38 · 11 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-606,-6815] |
[a1,a2,a3,a4,a6] |
Generators |
[32:81:1] |
Generators of the group modulo torsion |
j |
-2110056448/499059 |
j-invariant |
L |
4.5618927264022 |
L(r)(E,1)/r! |
Ω |
0.47516716793112 |
Real period |
R |
2.4001514804669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112464g1 18744k1 |
Quadratic twists by: -4 -3 |