Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510s |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1188718437060 = 22 · 38 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2655,5305] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:230:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
3.428049991597 |
L(r)(E,1)/r! |
Ω |
0.73945976107858 |
Real period |
R |
0.57948555351428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bt1 6930l1 |
Quadratic twists by: -3 -7 |