Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bb |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
8923799808 = 28 · 39 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9014,-327099] |
[a1,a2,a3,a4,a6] |
Generators |
[845:23967:1] |
Generators of the group modulo torsion |
j |
111097343765017/12241152 |
j-invariant |
L |
9.1402032050372 |
L(r)(E,1)/r! |
Ω |
0.48997824939902 |
Real period |
R |
4.6635759935508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626a1 |
Quadratic twists by: -3 |