Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190b |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
30103908471000000 = 26 · 39 · 56 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143925,19323125] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:5323:1] |
Generators of the group modulo torsion |
j |
16751080718799363/1529437000000 |
j-invariant |
L |
3.3185010511692 |
L(r)(E,1)/r! |
Ω |
0.36213688931519 |
Real period |
R |
0.76363873005881 |
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 |
65520bw4 8190bf2 40950cy4 57330j4 |
Quadratic twists by: -4 -3 5 -7 |