Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898s |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-9344702224 = -1 · 24 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ -2 3 2 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,503,1692] |
[a1,a2,a3,a4,a6] |
j |
24167/16 |
j-invariant |
L |
1.6257071897781 |
L(r)(E,1)/r! |
Ω |
0.8128535949795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bv1 242a1 |
Quadratic twists by: -11 13 |