Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bo |
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 |
[70:-1368:1] |
Generators of the group modulo torsion |
j |
9393931000/12895281 |
j-invariant |
L |
6.2128459544753 |
L(r)(E,1)/r! |
Ω |
0.36780875185425 |
Real period |
R |
1.0557195012819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ca2 38304g2 25536g2 |
Quadratic twists by: -4 8 -3 |