Atkin-Lehner |
2+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10672b |
Isogeny class |
Conductor |
10672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-6988843160576 = -1 · 210 · 234 · 293 |
Discriminant |
Eigenvalues |
2+ -3 -3 2 3 7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,221,127186] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1058:1] |
Generators of the group modulo torsion |
j |
1165736988/6825042149 |
j-invariant |
L |
2.5745862019 |
L(r)(E,1)/r! |
Ω |
0.58786170283558 |
Real period |
R |
1.0948945089812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5336a1 42688q1 96048n1 |
Quadratic twists by: -4 8 -3 |