Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ca |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-308040821932032 = -1 · 215 · 312 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12660,-642224] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1701:1] |
Generators of the group modulo torsion |
j |
9393931000/12895281 |
j-invariant |
L |
7.378851305106 |
L(r)(E,1)/r! |
Ω |
0.28988318619149 |
Real period |
R |
1.590910506388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bo2 38304bn2 25536bl2 |
Quadratic twists by: -4 8 -3 |