Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372f |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.1050852479294E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6196948,5514130504] |
[a1,a2,a3,a4,a6] |
Generators |
[870:27938:1] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
5.6548861087204 |
L(r)(E,1)/r! |
Ω |
0.14343451640324 |
Real period |
R |
6.570810436675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2028d4 7644a4 |
Quadratic twists by: -7 13 |