Atkin-Lehner |
2- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22646l |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
40128 |
Modular degree for the optimal curve |
Δ |
5936513024 = 219 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 2 -3 -3 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13972,629845] |
[a1,a2,a3,a4,a6] |
Generators |
[61:65:1] |
Generators of the group modulo torsion |
j |
1784903253243097/35127296 |
j-invariant |
L |
8.4278746768668 |
L(r)(E,1)/r! |
Ω |
1.2400752366379 |
Real period |
R |
0.35769793501939 |
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 |
22646c1 |
Quadratic twists by: 13 |