Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21056v |
Isogeny class |
Conductor |
21056 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.0894917097026E+22 |
Discriminant |
Eigenvalues |
2- -1 1 7- 1 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7488545,-9348107327] |
[a1,a2,a3,a4,a6] |
Generators |
[7239:561904:1] |
Generators of the group modulo torsion |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
4.2465749007537 |
L(r)(E,1)/r! |
Ω |
0.04507172167095 |
Real period |
R |
6.7298689151421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21056d1 5264h1 |
Quadratic twists by: -4 8 |