Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820p |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1870735235616000 = -1 · 28 · 37 · 53 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316063,1356669862] |
[a1,a2,a3,a4,a6] |
Generators |
[407:21942:1] |
Generators of the group modulo torsion |
j |
-7362195136213844176/10024087125 |
j-invariant |
L |
5.9337604245835 |
L(r)(E,1)/r! |
Ω |
0.39762497845004 |
Real period |
R |
2.4871678701195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17940l2 |
Quadratic twists by: -3 |