Atkin-Lehner |
2+ 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32136b |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1145459697408 = -1 · 28 · 32 · 136 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2620,-72044] |
[a1,a2,a3,a4,a6] |
j |
-7772368294096/4474451943 |
j-invariant |
L |
1.9500749261157 |
L(r)(E,1)/r! |
Ω |
0.32501248768482 |
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 |
64272h1 96408p1 |
Quadratic twists by: -4 -3 |