Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15939b |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
84683907 = 33 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-768,-7991] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11:1] |
Generators of the group modulo torsion |
j |
1856785158171/3136441 |
j-invariant |
L |
5.0361399846536 |
L(r)(E,1)/r! |
Ω |
0.9069363501987 |
Real period |
R |
1.3882286181247 |
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 |
15939a2 111573i2 |
Quadratic twists by: -3 -7 |