Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432y |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2044542809088 = 210 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4037,69483] |
[a1,a2,a3,a4,a6] |
Generators |
[7:204:1] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
9.3440823593879 |
L(r)(E,1)/r! |
Ω |
0.77063231313428 |
Real period |
R |
1.0104345699985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bt1 2652a1 127296bq1 |
Quadratic twists by: -4 8 -3 |