Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512l |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
490447872 = 210 · 38 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,33050] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] |
Generators of the group modulo torsion |
j |
1093437796/657 |
j-invariant |
L |
3.5390708943743 |
L(r)(E,1)/r! |
Ω |
1.6385970146386 |
Real period |
R |
0.5399544340002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5256i1 42048cm1 3504g1 |
Quadratic twists by: -4 8 -3 |