Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965i |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3828286546875 = -1 · 36 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-360705,83503181] |
[a1,a2,a3,a4,a6] |
Generators |
[345:67:1] |
Generators of the group modulo torsion |
j |
-105921792930522333184/78128296875 |
j-invariant |
L |
3.8444135024176 |
L(r)(E,1)/r! |
Ω |
0.65196089156624 |
Real period |
R |
0.49139111871956 |
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 |
41895u2 69825bn2 13965m2 |
Quadratic twists by: -3 5 -7 |