Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cf |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
5777085888 = 26 · 36 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4059,99468] |
[a1,a2,a3,a4,a6] |
Generators |
[24:126:1] |
Generators of the group modulo torsion |
j |
158516094528/123823 |
j-invariant |
L |
8.1396532785057 |
L(r)(E,1)/r! |
Ω |
1.3386908190895 |
Real period |
R |
1.0133847638262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bu1 38304w2 8512c1 |
Quadratic twists by: -4 8 -3 |