Atkin-Lehner |
2+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44384a |
Isogeny class |
Conductor |
44384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2050895872 = -1 · 212 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 0 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,163,1973] |
[a1,a2,a3,a4,a6] |
Generators |
[76:669:1] |
Generators of the group modulo torsion |
j |
116214272/500707 |
j-invariant |
L |
9.3481239662569 |
L(r)(E,1)/r! |
Ω |
1.0519573802534 |
Real period |
R |
4.4432047066394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44384e1 88768g1 |
Quadratic twists by: -4 8 |