Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648bb |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
731529216 = 214 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14872,693140] |
[a1,a2,a3,a4,a6] |
Generators |
[68:30:1] |
Generators of the group modulo torsion |
j |
88818021833113/178596 |
j-invariant |
L |
7.0979590121498 |
L(r)(E,1)/r! |
Ω |
1.3778171273511 |
Real period |
R |
1.2878993284464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706c1 86592cj1 64944bu1 |
Quadratic twists by: -4 8 -3 |