Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600cq |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
14590388502144000 = 210 · 32 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64968,-2639232] |
[a1,a2,a3,a4,a6] |
Generators |
[408:6240:1] |
Generators of the group modulo torsion |
j |
236929380920564/113987410173 |
j-invariant |
L |
8.2015384167164 |
L(r)(E,1)/r! |
Ω |
0.31370446542083 |
Real period |
R |
2.1786796493519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bk1 54600p1 |
Quadratic twists by: -4 5 |