Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fs |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-57031557889130496 = -1 · 219 · 316 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12396,11502160] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:3420:1] |
Generators of the group modulo torsion |
j |
-1102302937/298433646 |
j-invariant |
L |
6.0179397245302 |
L(r)(E,1)/r! |
Ω |
0.28701093477118 |
Real period |
R |
2.6209540278673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bj2 19152bt2 25536dn2 |
Quadratic twists by: -4 8 -3 |