Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032i |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12041750911647744 = 220 · 314 · 74 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59916,-1997840] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
0.64380215343298 |
L(r)(E,1)/r! |
Ω |
0.32190107671649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4032bl3 126b4 1344g3 100800fu3 |
Quadratic twists by: -4 8 -3 5 |