Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630c |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
395612100 = 22 · 34 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-228,828] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:46:1] [-13:49:1] |
Generators of the group modulo torsion |
j |
1319778683209/395612100 |
j-invariant |
L |
3.1240763232711 |
L(r)(E,1)/r! |
Ω |
1.5652816299922 |
Real period |
R |
0.99792786914828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53040cl2 19890bd2 33150cb2 86190ce2 |
Quadratic twists by: -4 -3 5 13 |