Atkin-Lehner |
3- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15249f |
Isogeny class |
Conductor |
15249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
674265033 = 33 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43062,3435867] |
[a1,a2,a3,a4,a6] |
Generators |
[126:57:1] |
Generators of the group modulo torsion |
j |
8830939964539316833/674265033 |
j-invariant |
L |
4.3791126800691 |
L(r)(E,1)/r! |
Ω |
1.2287713930362 |
Real period |
R |
2.3758759928206 |
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 |
45747l4 |
Quadratic twists by: -3 |