Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190f |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
50152284000000 = 28 · 39 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-479724,128009168] |
[a1,a2,a3,a4,a6] |
Generators |
[232:5284:1] |
Generators of the group modulo torsion |
j |
620307836233921107/2548000000 |
j-invariant |
L |
3.3506744206531 |
L(r)(E,1)/r! |
Ω |
0.55752389847696 |
Real period |
R |
0.50082672536646 |
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 |
65520cc2 8190bc2 40950db2 57330g2 |
Quadratic twists by: -4 -3 5 -7 |