Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cx |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.3760697636E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12864425,-17754939177] |
[a1,a2,a3,a4,a6] |
j |
57482405762145974128576/33595453212890625 |
j-invariant |
L |
3.1888000082259 |
L(r)(E,1)/r! |
Ω |
0.079719982006393 |
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 |
127680bl2 63840bc1 |
Quadratic twists by: -4 8 |