Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
960 |
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] |
Generators |
[-1691:186200:1] |
Generators of the group modulo torsion |
j |
57482405762145974128576/33595453212890625 |
j-invariant |
L |
7.6801130324327 |
L(r)(E,1)/r! |
Ω |
0.18209780223429 |
Real period |
R |
0.70292930744284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145503 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680cx2 63840s1 |
Quadratic twists by: -4 8 |