Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20976l |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-16881820416 = -1 · 28 · 38 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -3 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,6231] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:54:1] [-14:69:1] |
Generators of the group modulo torsion |
j |
-199794688/65944611 |
j-invariant |
L |
6.9980421995475 |
L(r)(E,1)/r! |
Ω |
1.0029574426102 |
Real period |
R |
0.2180439662193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5244c1 83904x1 62928bt1 |
Quadratic twists by: -4 8 -3 |