Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cm |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-50834964480 = -1 · 225 · 3 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,895,3105] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1223:1] |
Generators of the group modulo torsion |
j |
302111711/193920 |
j-invariant |
L |
6.8100835770808 |
L(r)(E,1)/r! |
Ω |
0.70161799942876 |
Real period |
R |
4.8531277471853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bl1 24240bi1 |
Quadratic twists by: -4 8 |