Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386o |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.4106185170468E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32148027,-70288964915] |
[a1,a2,a3,a4,a6] |
Generators |
[229112261347445125665090965:80291538725347797544030880534:1856225504945632772125] |
Generators of the group modulo torsion |
j |
-42842117160045582625/98064578635272 |
j-invariant |
L |
5.3506123029429 |
L(r)(E,1)/r! |
Ω |
0.031697237807005 |
Real period |
R |
42.200935106516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462y4 1314a4 |
Quadratic twists by: -3 -7 |