Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488dd |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-702202736107585536 = -1 · 225 · 3 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -3 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45855,40124289] |
[a1,a2,a3,a4,a6] |
Generators |
[3661:221952:1] |
Generators of the group modulo torsion |
j |
5831/384 |
j-invariant |
L |
3.128978299837 |
L(r)(E,1)/r! |
Ω |
0.21809571913968 |
Real period |
R |
1.1955676740665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bx1 13872bp1 55488dm1 |
Quadratic twists by: -4 8 17 |