Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190k |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17922361908209850 = -1 · 2 · 314 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5265,6444031] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2558:1] |
Generators of the group modulo torsion |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
3.0003379166953 |
L(r)(E,1)/r! |
Ω |
0.31319540861099 |
Real period |
R |
2.394940853381 |
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 |
65520dg5 2730w6 40950ef5 57330cg5 |
Quadratic twists by: -4 -3 5 -7 |