Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592v |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
502272 |
Modular degree for the optimal curve |
Δ |
495076893696 = 210 · 39 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1331912,-591201540] |
[a1,a2,a3,a4,a6] |
Generators |
[-94364460462323953544027146660:-133946459359955734135696105:141694364117264530516019648] |
Generators of the group modulo torsion |
j |
255182376002223122212/483473529 |
j-invariant |
L |
5.9561677292218 |
L(r)(E,1)/r! |
Ω |
0.14053375307244 |
Real period |
R |
42.382471106976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184v1 |
Quadratic twists by: -4 |