Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608co |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
798441810447826944 = 220 · 316 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-657516,-200660560] |
[a1,a2,a3,a4,a6] |
j |
164503536215257/4178071044 |
j-invariant |
L |
2.6866783250611 |
L(r)(E,1)/r! |
Ω |
0.16791739661443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608dy2 2394m2 25536t2 |
Quadratic twists by: -4 8 -3 |