Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cl |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
108452118528 = 222 · 32 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1313,-9633] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:60:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
7.642597610141 |
L(r)(E,1)/r! |
Ω |
0.82490944017981 |
Real period |
R |
2.31619291703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432m1 10608p1 127296co1 |
Quadratic twists by: -4 8 -3 |