Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bv |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
14938560 |
Modular degree for the optimal curve |
Δ |
-4.1359883525136E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1526836326,-22963563610952] |
[a1,a2,a3,a4,a6] |
Generators |
[45152:363111:1] |
Generators of the group modulo torsion |
j |
-201544580564199876850222949/21176260364869632 |
j-invariant |
L |
4.0505393873667 |
L(r)(E,1)/r! |
Ω |
0.012075953590751 |
Real period |
R |
2.6620786303448 |
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 |
84150gp1 28050cu1 |
Quadratic twists by: -3 5 |