Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bv |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2210790206435328 = -1 · 212 · 314 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24189,-1738046] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-3528:1] |
Generators of the group modulo torsion |
j |
524191506047/740389167 |
j-invariant |
L |
5.1638142315877 |
L(r)(E,1)/r! |
Ω |
0.24555425343607 |
Real period |
R |
1.3143262026989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2961d4 15792bf4 |
Quadratic twists by: -4 -3 |