Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384h |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
306432 = 28 · 32 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,7020] |
[a1,a2,a3,a4,a6] |
j |
153531250000/1197 |
j-invariant |
L |
2.7497629804761 |
L(r)(E,1)/r! |
Ω |
2.7497629804761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192e2 25536bw2 19152n2 44688j2 |
Quadratic twists by: -4 8 -3 -7 |