Atkin-Lehner |
2+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
64448f |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1031168 = -1 · 210 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -2 -4 3 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,-47] |
[a1,a2,a3,a4,a6] |
j |
-87808/1007 |
j-invariant |
L |
1.179216348983 |
L(r)(E,1)/r! |
Ω |
1.1792163515961 |
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 |
64448o1 4028a1 |
Quadratic twists by: -4 8 |