Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032bm |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-12039487488 = -1 · 218 · 38 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-1136] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
1.4733367444141 |
L(r)(E,1)/r! |
Ω |
0.73666837220706 |
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 |
4032h1 1008k1 1344r1 100800me1 |
Quadratic twists by: -4 8 -3 5 |