Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42848i |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5484544 = 212 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 -4 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,961] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-4:1] [0:31:1] |
Generators of the group modulo torsion |
j |
150568768/1339 |
j-invariant |
L |
5.1455130720736 |
L(r)(E,1)/r! |
Ω |
2.4215626986404 |
Real period |
R |
0.53121823719071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848c1 85696u1 |
Quadratic twists by: -4 8 |