Atkin-Lehner |
11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64493f |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-635623853579 = -1 · 113 · 132 · 414 |
Discriminant |
Eigenvalues |
-2 -1 -1 0 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-546,-38490] |
[a1,a2,a3,a4,a6] |
Generators |
[52:266:1] |
Generators of the group modulo torsion |
j |
-13549359104/477553609 |
j-invariant |
L |
1.6545228565532 |
L(r)(E,1)/r! |
Ω |
0.39758600974121 |
Real period |
R |
0.26008882603815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493b1 |
Quadratic twists by: -11 |