Atkin-Lehner |
2- 3+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842o |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
2.2017880895018E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10570322,11131195871] |
[a1,a2,a3,a4,a6] |
j |
130613590004371816254568993/22017880895018460512256 |
j-invariant |
L |
4.1471247076859 |
L(r)(E,1)/r! |
Ω |
0.1151979085466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113526p2 |
Quadratic twists by: -3 |