Atkin-Lehner |
29+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84941a |
Isogeny class |
Conductor |
84941 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49504 |
Modular degree for the optimal curve |
Δ |
60077155421 = 296 · 101 |
Discriminant |
Eigenvalues |
0 2 -1 -2 2 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1121,-7982] |
[a1,a2,a3,a4,a6] |
j |
262144/101 |
j-invariant |
L |
1.704774987399 |
L(r)(E,1)/r! |
Ω |
0.85238750832361 |
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 |
101a1 |
Quadratic twists by: 29 |