Atkin-Lehner |
2+ 3- 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13938d |
Isogeny class |
Conductor |
13938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
111504 = 24 · 3 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147,670] |
[a1,a2,a3,a4,a6] |
j |
347873904937/111504 |
j-invariant |
L |
1.6328753494919 |
L(r)(E,1)/r! |
Ω |
3.2657506989837 |
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 |
111504k1 41814j1 |
Quadratic twists by: -4 -3 |