Atkin-Lehner |
3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407h |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8686650033243 = 37 · 78 · 13 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99666,-12084971] |
[a1,a2,a3,a4,a6] |
Generators |
[-7829010350:2825590657:42875000] |
Generators of the group modulo torsion |
j |
150189551621849377/11915843667 |
j-invariant |
L |
7.6422046929147 |
L(r)(E,1)/r! |
Ω |
0.26869814037776 |
Real period |
R |
14.220799373918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14469d4 |
Quadratic twists by: -3 |