Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cr |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
642048 |
Modular degree for the optimal curve |
Δ |
930299550508224 = 26 · 311 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4016064,3096430506] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:12636:1] |
Generators of the group modulo torsion |
j |
111929798417942466883648/14535930476691 |
j-invariant |
L |
6.3177004016349 |
L(r)(E,1)/r! |
Ω |
0.38639180660608 |
Real period |
R |
0.99093957709645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bz1 21216k2 127296cw1 |
Quadratic twists by: -4 8 -3 |