Atkin-Lehner |
3- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46053g |
Isogeny class |
Conductor |
46053 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
696192 |
Modular degree for the optimal curve |
Δ |
-361424397298159251 = -1 · 36 · 714 · 17 · 43 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 2 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281594,64449172] |
[a1,a2,a3,a4,a6] |
Generators |
[19398:-421484:27] [320:2491:1] |
Generators of the group modulo torsion |
j |
-3387387875659176537/495781066252619 |
j-invariant |
L |
5.1985566368888 |
L(r)(E,1)/r! |
Ω |
0.29216849904417 |
Real period |
R |
8.8965043355039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5117c1 |
Quadratic twists by: -3 |