Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144p |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
7099121664 = 218 · 33 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8984,324756] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:768:1] [-44:798:1] |
Generators of the group modulo torsion |
j |
19580389825177/1733184 |
j-invariant |
L |
9.2140325266723 |
L(r)(E,1)/r! |
Ω |
1.2674677072661 |
Real period |
R |
2.423212960733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018a1 |
Quadratic twists by: -4 |