Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584t |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2840230656 = -1 · 28 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -3 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92,-2556] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-162:1] |
Generators of the group modulo torsion |
j |
-340062928/11094651 |
j-invariant |
L |
3.2697744669819 |
L(r)(E,1)/r! |
Ω |
0.62325174465666 |
Real period |
R |
0.65578927275655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168v1 121752u1 |
Quadratic twists by: -4 -3 |