Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10140l |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
164677208014800 = 24 · 38 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13745,54900] |
[a1,a2,a3,a4,a6] |
j |
3718856704/2132325 |
j-invariant |
L |
3.9262283493987 |
L(r)(E,1)/r! |
Ω |
0.49077854367484 |
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 |
40560bt1 30420i1 50700e1 780c1 |
Quadratic twists by: -4 -3 5 13 |