Atkin-Lehner |
3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7161g |
Isogeny class |
Conductor |
7161 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3269232813 = 3 · 74 · 114 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-620,-5311] |
[a1,a2,a3,a4,a6] |
Generators |
[25458:257153:216] |
Generators of the group modulo torsion |
j |
26296107018553/3269232813 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
114576bl4 21483k4 50127d4 78771u4 |
Quadratic twists by: -4 -3 -7 -11 |