Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270n |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-165767088643200 = -1 · 27 · 34 · 52 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12325,-320983] |
[a1,a2,a3,a4,a6] |
Generators |
[297:-5594:1] |
Generators of the group modulo torsion |
j |
207053365326094799/165767088643200 |
j-invariant |
L |
5.0590663715964 |
L(r)(E,1)/r! |
Ω |
0.31849485351652 |
Real period |
R |
0.18909875606866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bz2 18810e2 31350v2 68970l2 |
Quadratic twists by: -4 -3 5 -11 |