Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ie |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
936360000000000 = 212 · 34 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31033,1493063] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4200:1] |
Generators of the group modulo torsion |
j |
51645087424/14630625 |
j-invariant |
L |
9.9259356070472 |
L(r)(E,1)/r! |
Ω |
0.46227045778367 |
Real period |
R |
2.6840173970254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600fy2 40800d1 16320bx2 |
Quadratic twists by: -4 8 5 |