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 |
Δ |
-6674662600704 = -1 · 212 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3204,142560] |
[a1,a2,a3,a4,a6] |
Generators |
[40:280:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
8.1396532785057 |
L(r)(E,1)/r! |
Ω |
0.66934540954473 |
Real period |
R |
2.0267695276524 |
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 |
76608bu2 38304w1 8512c2 |
Quadratic twists by: -4 8 -3 |