Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760z |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.3208635137681E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6096456,-1731974400] |
[a1,a2,a3,a4,a6] |
Generators |
[5184:325584:1] |
Generators of the group modulo torsion |
j |
24471250226902171321636/12899057751641930625 |
j-invariant |
L |
7.3562403991811 |
L(r)(E,1)/r! |
Ω |
0.10192523720267 |
Real period |
R |
1.5036021747152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520h2 116280x2 |
Quadratic twists by: -4 -3 |