Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bm |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1261997773553664 = 224 · 32 · 74 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33409,1624609] |
[a1,a2,a3,a4,a6] |
Generators |
[39:616:1] |
Generators of the group modulo torsion |
j |
15732118860193/4814139456 |
j-invariant |
L |
5.3313800492503 |
L(r)(E,1)/r! |
Ω |
0.44879367913211 |
Real period |
R |
2.9698390921533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978599 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79296v2 19824y2 |
Quadratic twists by: -4 8 |