Atkin-Lehner |
2- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10660a |
Isogeny class |
Conductor |
10660 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13920 |
Modular degree for the optimal curve |
Δ |
58550050000 = 24 · 55 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42652,3390429] |
[a1,a2,a3,a4,a6] |
Generators |
[103:300:1] |
Generators of the group modulo torsion |
j |
536317454166736896/3659378125 |
j-invariant |
L |
4.7514987422308 |
L(r)(E,1)/r! |
Ω |
0.99417019696035 |
Real period |
R |
1.9117445913218 |
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 |
42640n1 95940b1 53300c1 |
Quadratic twists by: -4 -3 5 |