Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5382f |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-8461152940032 = -1 · 212 · 312 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,648,-139968] |
[a1,a2,a3,a4,a6] |
j |
41242421375/11606519808 |
j-invariant |
L |
1.3814768898241 |
L(r)(E,1)/r! |
Ω |
0.34536922245602 |
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 |
43056bl1 1794i1 69966bd1 123786t1 |
Quadratic twists by: -4 -3 13 -23 |