Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760u |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
7.9820111859878E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10908327,-2743612454] |
[a1,a2,a3,a4,a6] |
Generators |
[-2493:94640:1] |
Generators of the group modulo torsion |
j |
769184747004659888464/427705503364400625 |
j-invariant |
L |
6.6230300749137 |
L(r)(E,1)/r! |
Ω |
0.089087601020886 |
Real period |
R |
1.5488102906151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520bg2 10920r2 |
Quadratic twists by: -4 -3 |