Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296u |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-959164416 = -1 · 212 · 34 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,231,711] |
[a1,a2,a3,a4,a6] |
Generators |
[9:60:1] |
Generators of the group modulo torsion |
j |
331373888/234171 |
j-invariant |
L |
6.24456492927 |
L(r)(E,1)/r! |
Ω |
0.99324373653494 |
Real period |
R |
1.5717604595425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296h2 39648h1 |
Quadratic twists by: -4 8 |