Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496b |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70160919552 = 210 · 39 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,6210] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:118:1] |
Generators of the group modulo torsion |
j |
7443468/3481 |
j-invariant |
L |
2.2807528432338 |
L(r)(E,1)/r! |
Ω |
0.97924577570869 |
Real period |
R |
1.164545663515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4248b2 33984bf2 8496d2 |
Quadratic twists by: -4 8 -3 |