Atkin-Lehner |
3- 5- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18705m |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-695441815666875 = -1 · 32 · 54 · 292 · 435 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -5 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5435,-1257569] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13867:1] |
Generators of the group modulo torsion |
j |
17751802111852544/695441815666875 |
j-invariant |
L |
3.8793242757308 |
L(r)(E,1)/r! |
Ω |
0.24456997815478 |
Real period |
R |
0.19827271447007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56115g1 93525f1 |
Quadratic twists by: -3 5 |