Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2028d |
Isogeny class |
Conductor |
2028 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
17892929374065408 = 28 · 3 · 1312 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126468,-16112316] |
[a1,a2,a3,a4,a6] |
Generators |
[875:23322:1] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
3.3722029580321 |
L(r)(E,1)/r! |
Ω |
0.25445014987574 |
Real period |
R |
4.417634075776 |
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 |
8112t4 32448b4 6084f4 50700d4 |
Quadratic twists by: -4 8 -3 5 |