Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032i |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3082108796928 = -1 · 226 · 38 · 7 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,-94736] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
4032bl1 126b1 1344g1 100800fu1 |
Quadratic twists by: -4 8 -3 5 |