Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296t |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1508740414046208 = 220 · 310 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28673,-9633] |
[a1,a2,a3,a4,a6] |
Generators |
[331:-5184:1] |
Generators of the group modulo torsion |
j |
9945310362625/5755387932 |
j-invariant |
L |
7.5735242485463 |
L(r)(E,1)/r! |
Ω |
0.4029956543817 |
Real period |
R |
0.93965333981785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bk2 2478d2 |
Quadratic twists by: -4 8 |