Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984x |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9.2423800074978E+18 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624891,121472890] |
[a1,a2,a3,a4,a6] |
Generators |
[946:56133:8] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
4.4758995249536 |
L(r)(E,1)/r! |
Ω |
0.21216966007325 |
Real period |
R |
5.2739627374427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25992k2 17328m2 2736j2 |
Quadratic twists by: -4 -3 -19 |