Atkin-Lehner |
2- 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bi |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
38733782040000 = 26 · 310 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94262,11158661] |
[a1,a2,a3,a4,a6] |
Generators |
[141:739:1] [-279:4099:1] |
Generators of the group modulo torsion |
j |
127057941485566489/53132760000 |
j-invariant |
L |
14.354844579691 |
L(r)(E,1)/r! |
Ω |
0.63691477483376 |
Real period |
R |
0.46954360912032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390d2 |
Quadratic twists by: -3 |