Atkin-Lehner |
3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7161g |
Isogeny class |
Conductor |
7161 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5760000477 = -1 · 34 · 7 · 11 · 314 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,230,3413] |
[a1,a2,a3,a4,a6] |
Generators |
[7444:77381:64] |
Generators of the group modulo torsion |
j |
1354000227047/5760000477 |
j-invariant |
L |
6.2906203777263 |
L(r)(E,1)/r! |
Ω |
0.96475110548567 |
Real period |
R |
6.520459361961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114576bl3 21483k3 50127d3 78771u3 |
Quadratic twists by: -4 -3 -7 -11 |