Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192n |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-64192 = -1 · 26 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -2 2 2 5 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,13] |
[a1,a2,a3,a4,a6] |
j |
32768/1003 |
j-invariant |
L |
2.6299436478139 |
L(r)(E,1)/r! |
Ω |
2.6299436469259 |
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 |
64192bq1 1003a1 |
Quadratic twists by: -4 8 |