Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bq |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
272778576610178448 = 24 · 310 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 2 6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175514,-12977719] |
[a1,a2,a3,a4,a6] |
Generators |
[-274490:3939519:1000] |
Generators of the group modulo torsion |
j |
17434421857/7953552 |
j-invariant |
L |
15.201127870811 |
L(r)(E,1)/r! |
Ω |
0.24355121819217 |
Real period |
R |
7.8018126879638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822l1 5814i1 |
Quadratic twists by: -3 -19 |