Atkin-Lehner |
29+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84941b |
Isogeny class |
Conductor |
84941 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
356160 |
Modular degree for the optimal curve |
Δ |
50524887709061 = 298 · 101 |
Discriminant |
Eigenvalues |
-2 0 3 -4 0 -3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9251,-18292] |
[a1,a2,a3,a4,a6] |
j |
147197952/84941 |
j-invariant |
L |
1.0621065374898 |
L(r)(E,1)/r! |
Ω |
0.53105329705883 |
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 |
2929a1 |
Quadratic twists by: 29 |