Atkin-Lehner |
7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22477j |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-351704744209 = -1 · 78 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 -2 -1 7- 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,94,-28523] |
[a1,a2,a3,a4,a6] |
Generators |
[31:51:1] [52:317:1] |
Generators of the group modulo torsion |
j |
543164999/2081093161 |
j-invariant |
L |
3.6872790945615 |
L(r)(E,1)/r! |
Ω |
0.44387986059327 |
Real period |
R |
0.51918314812039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22477b1 |
Quadratic twists by: 13 |