Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bo |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-777216 = -1 · 210 · 3 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,-969] |
[a1,a2,a3,a4,a6] |
Generators |
[274526:7770321:343] |
Generators of the group modulo torsion |
j |
-602275072/759 |
j-invariant |
L |
6.9247890406396 |
L(r)(E,1)/r! |
Ω |
0.65409247428557 |
Real period |
R |
10.586865485943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576ci1 6072a1 |
Quadratic twists by: -4 8 |