Atkin-Lehner |
2+ 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674d |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-121106939408 = -1 · 24 · 78 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -2 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2231,-44054] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-8:1] |
Generators of the group modulo torsion |
j |
-10431681625/1029392 |
j-invariant |
L |
5.1449967489591 |
L(r)(E,1)/r! |
Ω |
0.34541696718956 |
Real period |
R |
3.7237580098945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999138129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382a1 |
Quadratic twists by: -7 |