Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gq |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
3.1397612873712E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113547425,-465745446177] |
[a1,a2,a3,a4,a6] |
j |
617611911727813844500009/1197723879765000 |
j-invariant |
L |
5.1799212214734 |
L(r)(E,1)/r! |
Ω |
0.046249312620643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680x4 31920z4 |
Quadratic twists by: -4 8 |