Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280f |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-22875000000000 = -1 · 29 · 3 · 512 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3256,242056] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:536:1] [405:8074:1] |
Generators of the group modulo torsion |
j |
-7458308028872/44677734375 |
j-invariant |
L |
6.5579881736 |
L(r)(E,1)/r! |
Ω |
0.58402939548031 |
Real period |
R |
22.457733204363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280n2 58560dt3 87840bt2 |
Quadratic twists by: -4 8 -3 |