Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032y |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-987614208 = -1 · 210 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,1944] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-55296/49 |
j-invariant |
L |
3.3559818145042 |
L(r)(E,1)/r! |
Ω |
1.4292525480266 |
Real period |
R |
1.1740338749571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032b1 1008c1 4032x1 100800ir1 |
Quadratic twists by: -4 8 -3 5 |