Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19992l |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
871090104205569024 = 210 · 311 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 4 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16500472,25803855484] |
[a1,a2,a3,a4,a6] |
Generators |
[61734:133244:27] |
Generators of the group modulo torsion |
j |
1717641340122148/3011499 |
j-invariant |
L |
3.4227328977441 |
L(r)(E,1)/r! |
Ω |
0.24036679873289 |
Real period |
R |
7.1198121283539 |
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 |
39984bb1 59976bl1 19992n1 |
Quadratic twists by: -4 -3 -7 |