Atkin-Lehner |
3+ 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73425g |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137998845703125 = 38 · 59 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57013,5185406] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:2857:1] [-94:3165:1] |
Generators of the group modulo torsion |
j |
10493390408957/70655409 |
j-invariant |
L |
5.618916130871 |
L(r)(E,1)/r! |
Ω |
0.58556320966441 |
Real period |
R |
4.797873259627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73425p2 |
Quadratic twists by: 5 |