Atkin-Lehner |
2- 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bf |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.531674365825E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-941616,297349056] |
[a1,a2,a3,a4,a6] |
Generators |
[8:17024:1] [200:10816:1] |
Generators of the group modulo torsion |
j |
22541650595110032049/3739439369689920 |
j-invariant |
L |
10.193160989614 |
L(r)(E,1)/r! |
Ω |
0.21127725037086 |
Real period |
R |
4.0204521835063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990t2 |
Quadratic twists by: -4 |