Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2706d |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
130877227008 = 218 · 33 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10231,-398758] |
[a1,a2,a3,a4,a6] |
j |
118417788018699625/130877227008 |
j-invariant |
L |
1.4242138108801 |
L(r)(E,1)/r! |
Ω |
0.47473793696003 |
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 |
21648r1 86592k1 8118q1 67650bo1 |
Quadratic twists by: -4 8 -3 5 |