Atkin-Lehner |
2- 3+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662s |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
727355490498 = 2 · 32 · 72 · 132 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-795022,-273176791] |
[a1,a2,a3,a4,a6] |
Generators |
[34019130:711140791:27000] |
Generators of the group modulo torsion |
j |
55572660188441446452193/727355490498 |
j-invariant |
L |
8.5129184121852 |
L(r)(E,1)/r! |
Ω |
0.1598839118419 |
Real period |
R |
13.311092895643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986q4 |
Quadratic twists by: -3 |