Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772m |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6294824706696E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58570239,-172511956330] |
[a1,a2,a3,a4,a6] |
Generators |
[967757303468730594339909730:8089223018329802836077164300313:13851147351149893000] |
Generators of the group modulo torsion |
j |
1012043003911031248/119760760791 |
j-invariant |
L |
9.2778995519629 |
L(r)(E,1)/r! |
Ω |
0.054573698772751 |
Real period |
R |
42.501698258718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42924b2 18396g2 |
Quadratic twists by: -3 -7 |