Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246l |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5525651605739958 = 2 · 310 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137781,19391719] |
[a1,a2,a3,a4,a6] |
Generators |
[245:422:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
3.8599595177351 |
L(r)(E,1)/r! |
Ω |
0.42845775901409 |
Real period |
R |
1.1261202057051 |
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 |
121968fu3 5082r3 106722dn3 1386l3 |
Quadratic twists by: -4 -3 -7 -11 |