Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bt |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
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 |
[-44:145:1] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
5.0282487886006 |
L(r)(E,1)/r! |
Ω |
0.61167119864884 |
Real period |
R |
4.1102546594544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432y1 10608u1 127296ds1 |
Quadratic twists by: -4 8 -3 |