Atkin-Lehner |
11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64493c |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10137600 |
Modular degree for the optimal curve |
Δ |
-7.8023757111853E+21 |
Discriminant |
Eigenvalues |
1 2 1 -3 11+ 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-235271192,-1389101328193] |
[a1,a2,a3,a4,a6] |
j |
-610795469549242191131/3308968956761 |
j-invariant |
L |
0.38548477685159 |
L(r)(E,1)/r! |
Ω |
0.019274238533008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493d1 |
Quadratic twists by: -11 |