Atkin-Lehner |
2+ 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202c |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-164958554293455104 = -1 · 28 · 75 · 138 · 47 |
Discriminant |
Eigenvalues |
2+ -3 3 7+ 5 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26818,19620628] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:34614:1] |
Generators of the group modulo torsion |
j |
-441928354113/34175488256 |
j-invariant |
L |
4.0284024384028 |
L(r)(E,1)/r! |
Ω |
0.26599405350855 |
Real period |
R |
1.8930885790697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554n1 |
Quadratic twists by: 13 |