Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bk |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-86187442176 = -1 · 218 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9219,340994] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-576:1] [-17:702:1] |
Generators of the group modulo torsion |
j |
-29019350017/28864 |
j-invariant |
L |
7.286298406446 |
L(r)(E,1)/r! |
Ω |
1.0717209259577 |
Real period |
R |
0.84983625750645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118i1 7216i1 |
Quadratic twists by: -4 -3 |