Atkin-Lehner |
2+ 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782i |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14810880 |
Modular degree for the optimal curve |
Δ |
-5.9117181568358E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 6 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3216807,2958835132] |
[a1,a2,a3,a4,a6] |
Generators |
[11003:1165170:1] |
Generators of the group modulo torsion |
j |
253756362691/407503872 |
j-invariant |
L |
2.6379263617263 |
L(r)(E,1)/r! |
Ω |
0.091855449724269 |
Real period |
R |
1.7948896738033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85782n1 |
Quadratic twists by: 29 |