Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176ck |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
7914780573696 = 214 · 314 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 2 6 -5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,368224] |
[a1,a2,a3,a4,a6] |
j |
9619385344/662661 |
j-invariant |
L |
1.4498120382311 |
L(r)(E,1)/r! |
Ω |
0.72490601923292 |
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 |
58176bc1 14544b1 19392bi1 |
Quadratic twists by: -4 8 -3 |