Atkin-Lehner |
2- 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706y |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-16602894396555264 = -1 · 222 · 34 · 73 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-648596,201094032] |
[a1,a2,a3,a4,a6] |
Generators |
[472:-644:1] |
Generators of the group modulo torsion |
j |
-30174949497608675742529/16602894396555264 |
j-invariant |
L |
8.7873519083903 |
L(r)(E,1)/r! |
Ω |
0.38590185142143 |
Real period |
R |
0.086253599905816 |
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 |
62118g1 |
Quadratic twists by: -3 |