Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648h |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1206384192 = 26 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381,-2324] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] |
Generators of the group modulo torsion |
j |
131096512/25857 |
j-invariant |
L |
5.4832759633854 |
L(r)(E,1)/r! |
Ω |
1.0954830173744 |
Real period |
R |
2.5026750195171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648r1 127296bm1 21216m1 |
Quadratic twists by: -4 8 -3 |