Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bk |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-65568297839624192 = -1 · 217 · 298 |
Discriminant |
Eigenvalues |
2- -1 0 4 3 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162593,28135873] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:5296:1] |
Generators of the group modulo torsion |
j |
-7250 |
j-invariant |
L |
6.2124475928756 |
L(r)(E,1)/r! |
Ω |
0.33734041631626 |
Real period |
R |
4.6039899848839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824l1 13456d1 53824s1 |
Quadratic twists by: -4 8 29 |