Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432ce |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
10006483968 = 210 · 32 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1173,-15093] |
[a1,a2,a3,a4,a6] |
j |
174456832000/9771957 |
j-invariant |
L |
3.2743000566445 |
L(r)(E,1)/r! |
Ω |
0.81857501420118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432c1 10608s1 127296bz1 |
Quadratic twists by: -4 8 -3 |