Atkin-Lehner |
2+ 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48504b |
Isogeny class |
Conductor |
48504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
600673536 = 28 · 33 · 432 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 1 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,3621] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-86:1] |
Generators of the group modulo torsion |
j |
39191299072/2346381 |
j-invariant |
L |
6.1542090537799 |
L(r)(E,1)/r! |
Ω |
1.6030263692199 |
Real period |
R |
0.47988987985066 |
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 |
97008i1 |
Quadratic twists by: -4 |