Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056p |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-395587584 = -1 · 212 · 33 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189,1323] |
[a1,a2,a3,a4,a6] |
Generators |
[21:84:1] |
Generators of the group modulo torsion |
j |
-183250432/96579 |
j-invariant |
L |
8.9805810228588 |
L(r)(E,1)/r! |
Ω |
1.5693375946136 |
Real period |
R |
0.47687747650569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49056c1 98112n1 |
Quadratic twists by: -4 8 |