Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bj |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5998741767051770880 = 210 · 316 · 5 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154599483,739878085222] |
[a1,a2,a3,a4,a6] |
Generators |
[2536317:-10919236:343] |
Generators of the group modulo torsion |
j |
547419594877749407409124/8035865921655 |
j-invariant |
L |
6.5727815438079 |
L(r)(E,1)/r! |
Ω |
0.16997836247428 |
Real period |
R |
9.6670856339703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bd2 17160k2 |
Quadratic twists by: -4 -3 |