Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642f |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-27196684032 = -1 · 28 · 3 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,661,-4227] |
[a1,a2,a3,a4,a6] |
j |
270840023/231168 |
j-invariant |
L |
1.3082978889124 |
L(r)(E,1)/r! |
Ω |
0.65414894445621 |
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 |
101136cy1 37926br1 1806f1 |
Quadratic twists by: -4 -3 -7 |