Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976p |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
13095936 = 210 · 32 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-357,2475] |
[a1,a2,a3,a4,a6] |
j |
4927700992/12789 |
j-invariant |
L |
4.495576576169 |
L(r)(E,1)/r! |
Ω |
2.2477882880943 |
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 |
38976bj1 2436b1 116928bq1 |
Quadratic twists by: -4 8 -3 |