Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480h |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
54948375000000000 = 29 · 38 · 512 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104763,6568562] |
[a1,a2,a3,a4,a6] |
Generators |
[5091457433998726:-22160113758250000:17135598454541] |
Generators of the group modulo torsion |
j |
340682638495688/147216796875 |
j-invariant |
L |
6.8375627916936 |
L(r)(E,1)/r! |
Ω |
0.31884729523496 |
Real period |
R |
21.444631613701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480x3 32160r3 |
Quadratic twists by: -4 -3 |