Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bu |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
780 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-2522995622185698000 = -1 · 24 · 313 · 53 · 115 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198921,-83720612] |
[a1,a2,a3,a4,a6] |
Generators |
[6767:552006:1] |
Generators of the group modulo torsion |
j |
-6963898974088537853/20183964977485584 |
j-invariant |
L |
5.3284965800156 |
L(r)(E,1)/r! |
Ω |
0.10463716062453 |
Real period |
R |
0.065286613580121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150gi1 28050ct1 |
Quadratic twists by: -3 5 |