Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28152n |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1042230281472 = 28 · 39 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 0 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-934956,-347964444] |
[a1,a2,a3,a4,a6] |
j |
17937667659377664/206839 |
j-invariant |
L |
1.8423961090634 |
L(r)(E,1)/r! |
Ω |
0.1535330090886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56304e1 28152a1 |
Quadratic twists by: -4 -3 |