Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248bi |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
13407173648 = 24 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 3 11- 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605,1331] |
[a1,a2,a3,a4,a6] |
j |
864000/473 |
j-invariant |
L |
2.189043159907 |
L(r)(E,1)/r! |
Ω |
1.0945215756255 |
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 |
20812g1 7568k1 |
Quadratic twists by: -4 -11 |