Atkin-Lehner |
2- 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28536j |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-1347812352 = -1 · 210 · 33 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152,1664] |
[a1,a2,a3,a4,a6] |
j |
376785500/1316223 |
j-invariant |
L |
3.2411836521833 |
L(r)(E,1)/r! |
Ω |
1.080394550728 |
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 |
57072c1 85608h1 |
Quadratic twists by: -4 -3 |