Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939a |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61734568203 = 39 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6914,222670] |
[a1,a2,a3,a4,a6] |
Generators |
[40:74:1] |
Generators of the group modulo torsion |
j |
1856785158171/3136441 |
j-invariant |
L |
3.6497206822216 |
L(r)(E,1)/r! |
Ω |
1.1075456389277 |
Real period |
R |
0.82383076460737 |
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 |
15939b2 111573h2 |
Quadratic twists by: -3 -7 |