Atkin-Lehner |
3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119427h |
Isogeny class |
Conductor |
119427 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
3.2482359766167E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-835992,-106682435] |
[a1,a2,a3,a4,a6] |
Generators |
[16630:667635:8] |
Generators of the group modulo torsion |
j |
36473145476813137/18335445274629 |
j-invariant |
L |
6.9160957030494 |
L(r)(E,1)/r! |
Ω |
0.16641492548471 |
Real period |
R |
2.7706231489194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
987e2 |
Quadratic twists by: -11 |