Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590y |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2969051124023437500 = -1 · 22 · 38 · 512 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194364,89270748] |
[a1,a2,a3,a4,a6] |
Generators |
[-543:6144:1] |
Generators of the group modulo torsion |
j |
-1113896720716014529/4072772460937500 |
j-invariant |
L |
2.5475313895157 |
L(r)(E,1)/r! |
Ω |
0.22183506956795 |
Real period |
R |
1.435487293827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16530z3 |
Quadratic twists by: -3 |