Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944u |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-34513904304 = -1 · 24 · 314 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1038,15671] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:144:1] |
Generators of the group modulo torsion |
j |
-10603964416/2959011 |
j-invariant |
L |
5.6831333441285 |
L(r)(E,1)/r! |
Ω |
1.1034472666899 |
Real period |
R |
2.5751721518178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32472e1 21648b1 |
Quadratic twists by: -4 -3 |