Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573v |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-146494628951259897 = -1 · 315 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1159619,481283660] |
[a1,a2,a3,a4,a6] |
Generators |
[478:5763:1] |
Generators of the group modulo torsion |
j |
-5862183923791/4979799 |
j-invariant |
L |
4.0712025668586 |
L(r)(E,1)/r! |
Ω |
0.32367071503485 |
Real period |
R |
3.1445558653282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999638127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37191h1 111573w1 |
Quadratic twists by: -3 -7 |