Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dn |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45635677323264 = 217 · 39 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226476,-41482800] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:35:1] |
Generators of the group modulo torsion |
j |
497953800342/17689 |
j-invariant |
L |
4.97176998911 |
L(r)(E,1)/r! |
Ω |
0.21884918512043 |
Real period |
R |
2.839723841794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608e2 19152k2 76608dm2 |
Quadratic twists by: -4 8 -3 |