Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820n |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1360139040000 = -1 · 28 · 37 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2337,35462] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:182:1] [11:250:1] |
Generators of the group modulo torsion |
j |
7563666224/7288125 |
j-invariant |
L |
9.3669773590957 |
L(r)(E,1)/r! |
Ω |
0.5620846309191 |
Real period |
R |
2.7774516635167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940d2 |
Quadratic twists by: -3 |