Atkin-Lehner |
2- 3- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110952f |
Isogeny class |
Conductor |
110952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-5163922658304 = -1 · 210 · 36 · 23 · 673 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91083,10581014] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4556:1] |
Generators of the group modulo torsion |
j |
-111945903743524/6917549 |
j-invariant |
L |
7.5332587680366 |
L(r)(E,1)/r! |
Ω |
0.72602910820143 |
Real period |
R |
1.7293289010263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12328a1 |
Quadratic twists by: -3 |