Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640bw |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-234788400 = -1 · 24 · 32 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,125,-548] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-35:1] |
Generators of the group modulo torsion |
j |
10061824/11025 |
j-invariant |
L |
5.2643464098846 |
L(r)(E,1)/r! |
Ω |
0.95185790305205 |
Real period |
R |
0.69132514246171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640n1 |
Quadratic twists by: -11 |