Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368y |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-776801746944 = -1 · 217 · 35 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16056,-778896] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3074:1] |
Generators of the group modulo torsion |
j |
-4582567781/7776 |
j-invariant |
L |
2.8627605139974 |
L(r)(E,1)/r! |
Ω |
0.21203804734935 |
Real period |
R |
3.3752910736848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046f2 121104cq2 40368bo2 |
Quadratic twists by: -4 -3 29 |