Atkin-Lehner |
2- 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bq |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1099215360 = -1 · 29 · 36 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5769743,5335808087] |
[a1,a2,a3,a4,a6] |
Generators |
[3360279:18844054:2197] |
Generators of the group modulo torsion |
j |
-29138387870618284576681/1507840 |
j-invariant |
L |
9.5492608223597 |
L(r)(E,1)/r! |
Ω |
0.58138474806534 |
Real period |
R |
8.2125140487187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5890d3 |
Quadratic twists by: -3 |