Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782r |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2962176 |
Modular degree for the optimal curve |
Δ |
-5.1518241018177E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8843553,-10129137591] |
[a1,a2,a3,a4,a6] |
Generators |
[86725822334049990:10728890260076308013:5413764207879] |
Generators of the group modulo torsion |
j |
-5272566705125/3551232 |
j-invariant |
L |
13.599970221101 |
L(r)(E,1)/r! |
Ω |
0.043771892089052 |
Real period |
R |
25.891749190802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85782c1 |
Quadratic twists by: 29 |