Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944a |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-2143152 = -1 · 24 · 33 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30,31] |
[a1,a2,a3,a4,a6] |
Generators |
[165:568:27] |
Generators of the group modulo torsion |
j |
6912000/4961 |
j-invariant |
L |
7.4604734911248 |
L(r)(E,1)/r! |
Ω |
1.655576557823 |
Real period |
R |
4.5062691032254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472d1 64944f1 |
Quadratic twists by: -4 -3 |