Atkin-Lehner |
2- 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752h |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3779444736 = -1 · 214 · 32 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-584,6384] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:90:1] [10:-38:1] |
Generators of the group modulo torsion |
j |
-5386984777/922716 |
j-invariant |
L |
6.4244572890421 |
L(r)(E,1)/r! |
Ω |
1.3454892990882 |
Real period |
R |
1.1937027840745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8094b1 |
Quadratic twists by: -4 |