Atkin-Lehner |
3- 5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485n |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-26798717951775 = -1 · 39 · 52 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7222,-80688] |
[a1,a2,a3,a4,a6] |
j |
57151154952359/36760929975 |
j-invariant |
L |
1.5289488483058 |
L(r)(E,1)/r! |
Ω |
0.38223718235728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495k1 |
Quadratic twists by: -3 |