Atkin-Lehner |
3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7161a |
Isogeny class |
Conductor |
7161 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-708939 = -1 · 33 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 11+ -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
20123648/708939 |
j-invariant |
L |
2.1018989664105 |
L(r)(E,1)/r! |
Ω |
2.1582294641971 |
Real period |
R |
0.48694983579804 |
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 |
114576cj1 21483j1 50127p1 78771i1 |
Quadratic twists by: -4 -3 -7 -11 |