Atkin-Lehner |
2- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942i |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2743296 |
Modular degree for the optimal curve |
Δ |
-4.9649771024758E+19 |
Discriminant |
Eigenvalues |
2- -2 1 -2 2 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1659005,889460353] |
[a1,a2,a3,a4,a6] |
Generators |
[184:24207:1] |
Generators of the group modulo torsion |
j |
-21207230161/2085136 |
j-invariant |
L |
6.7687947699801 |
L(r)(E,1)/r! |
Ω |
0.19572588241773 |
Real period |
R |
1.4409597345645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83942m1 |
Quadratic twists by: -47 |