Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820k |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4678041288960 = -1 · 28 · 312 · 5 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1257,102638] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-414:1] [-13:290:1] |
Generators of the group modulo torsion |
j |
1176960944/25066665 |
j-invariant |
L |
8.4783097038928 |
L(r)(E,1)/r! |
Ω |
0.57767961882328 |
Real period |
R |
2.4460818267984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940c2 |
Quadratic twists by: -3 |