Atkin-Lehner |
3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825v |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1507287234375 = -1 · 39 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,-24928] |
[a1,a2,a3,a4,a6] |
j |
190109375/132327 |
j-invariant |
L |
1.9178360867406 |
L(r)(E,1)/r! |
Ω |
0.47945903825153 |
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 |
28275g1 3393e1 |
Quadratic twists by: -3 5 |