Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608b |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4079072088096768 = -1 · 216 · 33 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14892,-3151440] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1208:1] |
Generators of the group modulo torsion |
j |
-206413976268/2305248169 |
j-invariant |
L |
3.7513171266373 |
L(r)(E,1)/r! |
Ω |
0.18686500519869 |
Real period |
R |
5.0187528739809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dt2 9576b2 76608a2 |
Quadratic twists by: -4 8 -3 |