Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190m |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3208229069409000000 = 26 · 318 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-372645,15578325] |
[a1,a2,a3,a4,a6] |
j |
7850236389974007121/4400862921000000 |
j-invariant |
L |
0.8709071618923 |
L(r)(E,1)/r! |
Ω |
0.21772679047307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520cq2 2730bd2 40950dm2 57330ce2 |
Quadratic twists by: -4 -3 5 -7 |